HONOURED
SCIENTISTS
Great
and world renowned Russian-Ukrainian Honored Scientists who are Advisors of
Advisors of
PROFESSOR Dr. AMAN Ullah Khan (Ph.D. Advisor
was ACADEMICIAN Anatolii Mekhailovich SAMOILENKO,
And D.Sc. Advisor was ACADEMICIAN Yurii Alekseevich MITROPOLSKY, agreed)
are
introduced below:
(1)
ACADEMICIAN
Anatolii Mekhailovich SAMOILENKO (Ph.D.
/D.Sc. Advisor was ACADEMICIAN Yurii
Alekseevich MITROPOLSKY)
(2)
ACADEMICIAN
Yurii Alekseevich MITROPOLSKY (Ph.D.
/D.Sc. Advisor was ACADEMICIAN
Nikolay Nikolaevich BOGOLYUBOV)
(3)
ACADEMICIAN
Nikolay Nikolaevich BOGOLYUBOV (Ph.D.
/D.Sc. Advisor was ACADEMICIAN
Nikolai Mitrofanovich KRYLOV)
(4)
ACADEMICIAN
Nikolai Mitrofanovich KRYLOV (Ph.D.
/D.Sc. Advisor was Prof. Dr. Ivan
Petrovich Dolbnya who has one student but 488 descendents)
(5)
(ACADEMICIAN)
RECTOR and PROFESSOR Ivan Petrovich DOLBNYA
(Ph.D. / D.Sc. Advisor unknown)
===========================================================================
Detailed introduction of the
above Honoured Russian-Ukrainian Scientists (copied from internet)
………………………………………………………………………....
|
Biography Students Editorial Publications News Miscellaneous Links Photos Contacts |
Anatoly Samoilenko ·
D.Sc.,
Prof., Member of the ·
Director
of the ·
Academician-Secretary
of the Mathematics Division of the NAS of BIOGRAPHY:
SCIENTIFIC LIFE
Anatoly
M. Samoilenko, a member of the National Academy of Sciences of Since
1988, A. M. Samoilenko is the Director
of the Institute of Mathematics, NAS of Ukraine and, since 2006, Academician-Secretary of the
Mathematics Division of the NAS of Ukraine. In 1978, he had been elected
a Corresponding Member and, in
1995, a Member of the NAS of Ukraine. Since 2002,
A. M. Samoilenko is a Member
of the European Academy of Sciences. A. M. Samoilenko
is the author of more than 400
publications that include 30 monographs and 15 university
texts. Most of his papers and books were translated into foreign
languages. A. M. Samoilenko's
research interests cover a wide range of complicated mathematical
problems. The international recognition of his scientific achievements
is justified by the well-known terms like "A. M. Samoilenko's
numerical-analytic method"&"Green-Samoilenko
function". His monographs contributed significantly to mathematical
science and teaching of mathematics |
STUDENTS:
Scientific Tree (A. M. Samoilenko's
scientific tree is available here).
(List of hundred (D.Sc =24 +
Ph.D =76) Students up to 2006 has been given below)
FORMER
STUDENTS (Doctor of Science = D.Sc.)
1.
Martynyuk, Dmitry I. Year of defence: 1982
Thesis
title: Periodic and Quasiperiodic
Solutions of Difference-Differential and Difference Equations (in Russian)
2.
Perestyuk, Nikolai A. Year of defence: 1985
Thesis
title: Oscillatory Solutions of Impulsive
Differential Equations and Their Stability (in Russian)
3.
Ronto,
Thesis
title: Constructive
Numerical-Analytical Methods of Investigation of Boundary Value Problems (in
Russian)
4.
Kulik, Viktor L. Year of defence: 1988
Thesis
title: Dichotomy of Linear
Differential Equations and Sign-Alternating Lyapunov Functions (in Russian)
5.
Tkach, Boris P. Year of defence: 1991
Thesis
title: Periodic and Quasiperiodic
Solutions of Systems with Distributed Parameters (in Russian)
6.
Teplinsky, Yuriy V. Year of defence:
1992
Thesis
title: Investigations of Oscillations
in Countable Systems of Differential Equations (in Russian)
7.
Ilolov, Mamadsho Year of defence: 1992
Thesis
title: Evolution Equations with Time
Deviations and Impulsive Action (in Russian)
8.
Glavan, Vasiliy A. Year of defence: 1992
Thesis
title: Investigation of Linear
Extensions of Dynamical Systems in the Critical Case (in Russian)
9.
Boichuk, Alexander A. Year of defence: 1992
Thesis
title: Constructive Methods of
Investigation of Noether Boundary Value Problems (in Russian)
10.
Yakovec, Vasiliy P. Year of defence: 1993
Thesis
title: Asymptotic Integration of
Linear Systems of Second Order Partial Differential Equations with Slowly
Varying Coefficients (in Russian)
11.
Trofimchuk,
Thesis
title: Investigation of Almost
Periodic Impulsive Systems (in Russian)
12.
Parasyuk, Igor O. Year of defence: 1995
Thesis
title: Coisotropic Invariant Tori of
Hamiltonian Systems (in Ukrainian)
13.
Kenzhebaev, Kenzhegali Year of defence: 1995
Thesis
title: Constructive Methods of
Investigation of Periodic and Boundary Value Problems (in Russian)
14.
Petrishin, Roman I. Year of defence: 1995
Thesis
title: Investigation of Oscillatory
Systems with Slowly Varying Frequencies by Using Averaging Method (in
15.
Moseenkov, Viktor B. Year of defence: 1996
Thesis
title: Qualitative Methods of
Investigation of Convection Problems of a Weakly Compressable Viscous Liquid Uk
16.
Tkachenko,
Thesis
title: Investigation of Bounded
Solutions and Invariant Sets of Almost Periodic Systems (in Ukrainian)
17.
Prytula, Mykola M. Year of defence: 1998
Thesis
title Gradient-Holonomic Method of
Investigation of Non-Linear Evolution Equations on Functional Manifolds U
18.
Borysenko, Sergiy D. Year of defence: 1998
Thesis
title: Integro-Sum Inequalities and
Stability Problems for Systems with Impulsive Perturbations (in Ukrainian)
19.
Stanzhitsky,
Olexandr M. Year of defence: 2002
Thesis
title: Qualitative Analysis of Differential
Equations with Random Perturbations (in Ukrainian)
20.
Lagno,
Thesis
title: Realisations of Lie Algebras of
Groups of Local Transformations and Group Analysis of Non-Linear Differential
Equations (in Ukrainian)
21.
Vitrichenko, I E. Year of defence: 2004
Thesis
title: Critical Cases of Lyapunov
Stability of Non-Autonomous Non-Linear Differential Systems (in Ukrainian)
22.
Karandzhulov,
Thesis
title: Noether Boundary Value Problems
for Systems of Ordinary Differential Equations with Regular and Singular
Perturbations (in Ukrainian)
23.
Ronto, Andrei M. Year of defence: 2005
Thesis
title: Initial and Boundary Value
Problems for Functional Differential Equations (in Ukrainian)
24.
Prykarpatsky,
Yarema A. Year of defence: 2006
Thesis
title: Investigation of
Algebraic-Analytical and Topologic-Geometrical Properties of Integrable
Dynamical Systems and Their Adiabatic Perturbations (in Ukrainian)
FORMER
STUDENTS (Candidate ofScience = Ph. D.)
1.
Vahabov, Gani Year of defence: 1970
Thesis
title: On Some Methods of
Investigation of Oscillations in Nonlinear Systems of Integro-Differential
Equations R
2.
Oleinik, Svyatoslav G. Year of defence: 1970
Thesis
title: Transformation of Linear
Differential Systems with Bounded Coefficients to a Triangular Form (in
Russian)
3.
Ronto,
Thesis
title: Finding Periodic Solutions by
Using the Method of Collocation (in Russian)
4.
Rizun, Vladimir I. Year of defence: 1971
Thesis
title: Some Constructive Methods of
Constructing Solutions of Differential Systems with Variable Coefficients R
5.
Perestyuk, Nikolai A. Year of defence: 1971
Thesis
title: Some Questions of Investigating
Nonlinear Differential Systems with an Impulsive (in Russian)
6.
Golets, Valentina L. Year of defence: 1972
Thesis
title: Investigating a Condition of
Periodic Motions of Some Nonlinear Systems (in Russian)
7.
Shlapak, Yuriy D. Year of defence: 1974
Thesis
title: Investigating Oscillations of
Some Kinds of Systems (in Russian)
8.
Kulik, Viktor L. Year of defence: 1975
Thesis
title: Conditionally Stable Invariant
Sets and Manifolds of Dynamical Systems (in Russian)
9.
Polesya, Igor V. Year of defence: 1976
Thesis
title: The Bifurcation of Invariant
Sets of Dynamical Systems (in Russian)
10.
Ordynskaya, Zoya P. Year of defence: 1977
Thesis
title: Invariant Toroidal Manifolds of
the Systems with a Delay (in Russian)
11.
Dvorak, Alexandr V. Year of defence: 1977
Thesis
title: The Behaviour of Trajectories
in the Neighbourhood of Structurally Stable Invariant Toroidal Manifolds of
Dynamical Systems (in Russian)
12.
Moseenkov, Viktor B. Year of defence: 1978
Thesis
title: Quasiperiodic Solutions of
Nonlinear Hyperbolic Equations (in Russian)
13.
Nurzhanov, Orynbay Year of defence: 1979
Thesis
title: Analytical Methods of
Constructing Periodical Solutions of Integro-Differential Equations of the
Volterra type
14.
Teplinsky, Yuriy V. Year of defence:
1979
Thesis
title: Invariant Tori and a
Reducibility of Countable Differential Systems (in Russian)
15.
Karkinbaev, Iskak Year of defence: 1979
Thesis
title: Investigating Weakly Nonlinear
Systems with a Switching and Systems with an Impulse (in Russian)
16.
Parasyuk, Igor O. Year of defence: 1979
Thesis
title: Constructing and Investigating
Quasiperiodic Solutions of Some Classes of Differential Equations (in Russ)
17.
Tai, Le Lyong Year of defence: 1979
Thesis
title: Periodic Solutions of Some
Classes of Autonomous Systems and Their Stability (in Russian)
18.
Tsyganovsky,
Nikolai S. Year of defence: 1980
Thesis
title: Investigating the Oscillations
of Systems Subjected to Impulsive Action (in Russian)
19.
Eremenko, Valeriy A. Year of defence: 1981
Thesis
title: Investigating Oscillation
Systems with Quasiperiodic Coefficients (in Russian)
20.
Petrishin, Roman I. Year of defence: 1981
Thesis
title: The Averaging Method in
Oscillation Systems with Variable Frequencies (in Russian)
21.
Gurgula,
Thesis
title: The Stability of Solutions of
Differential Systems with Impulsive Action (in Russian)
22.
Ronto, Valentina A. Year of defence: 1982
Thesis
title: Constructing Solutions of
Two-Point Boundary Problems (in Russian)
23.
Vozny, Alexey M. Year of defence: 1982
Thesis
title: The Application of
Ateb-Functions for Constructing Solutions of Nonlinear Differential Systems (in
Russ)
24.
Tkachenko,
Thesis
title: The Asymptotic Integration,
Dichotomy and Splittingness of Dynamical Systems of Nonlinear Mechanics
25.
Baekova, Svetlana Year of defence: 1983
Thesis
title: Invariant Toroidal Manifolds for
Singularly Perturbed Systems (in Russian)
26.
Vuitovich, Bogdan Year of defence: 1983
Thesis
title: Periodic Solutions of
Integro-Differential Equations of Volterra Type with the Infinite Limit (in
Russian)
27.
Sobkovich, Roman I. Year of defence: 1983
Thesis
title: Numerical-Analytical Methods of
Investigating Boundary Problems with a Control (in Russian)
28.
Aslanyan, Artem A. Year of defence: 1983
Thesis
title: The Optimal Control of
Differential Systems with Impulsive Action (in Russian)
29.
Borysenko, Sergiy D. Year of defence: 1983
Thesis
title: The Application of Integral
Inequalities in the Problem of the Stability of Solutions of Differential
SystemsR
30.
Zlepko, Petr P. Year of defence: 1983
Thesis
title: Some Proective-Iterative
Methods of Solving Nonlinear Integral Equations with a Parameter (in Russian)
31.
Kenzhebaev, Kenzhegali Year of defence: 1984
Thesis
title: Constructive Methods of
Analysis of Solutions of Boundary Problems for Differential Systems (in
Russian)
32.
Malkov, Viktor A. Year of defence: 1984
Thesis
title: Invariant Tori and the
Splittingness of Extentions of Dynamical Systems on a Torus (in Russian)
33.
Shpakovich, Vasiliy P. Year of defence: 1985
Thesis
title: The Substantiation of the
Averaging Method for Nonlinear Oscillation Systems with Retarded Argument (R
34.
Turbaev, Buranbay Year of defence: 1985
Thesis
title: The Asymptotic Integration of
Nonlinear Integro-Differential Equations (in Russian)
35.
Ovezdurdyev,
Hudaiberdy Year of defence: 1985
Thesis
title: Numerical-Analytical Methods of
Investigating Solutions of Two-Point Boundary Problems (in Russian)
36.
Ullah, Aman (Prof. Dr. Aman Ullah Khan), Year of
defense:
Thesis title: Algorithmical Improvements of the
Approximations of Nonlinear Functions and Solutions of Differential Equations
(in Russian)
37.
Alymbaev, Asan Year of defence: 1986
Thesis
title: Analytical Methods of
Investigating Periodic Solutions of Integro-Differential Equations (in Russian)
38.
Mamsa, E. Yu. Year of defence: 1987
Thesis
title: Periodic Solutions and Integral
Sets of Differential Equations with Impulsive Action (in Russian)
39.
Muntyan,
Thesis
title: The Substantiation of
Asymptotic Methods for Equations with " Maxima
" (in Russian)
40.
Svischuk, Mariya Ya. Year of defence: 1987
Thesis
title: Investigating Periodic
Solutions of Differential Systems with Slow and Rapid Arguments (in Russian)
41.
Laver, Alexandr G. Year of defence: 1987
Thesis
title: The Asymptotics of Solutions of
Periodic Boundary Problems for Two Order Parabolic Equations with Small
Parameter Near the Derivative with Respect to Time (in
Russian)
42.
Avdeyuk,
Thesis
title: Invariant Tori of Countable
Differential Systems (in Russian)
43.
Kirichenko,
Svetlana B. Year of defence: 1989
Thesis
title: The Optimal Impulsive
Correction (in Russian)
44.
Stanzhitsky,
Olexandr M. Year of defence: 1989
Thesis
title: Oscillatory Properties of
Solutions of Differential Equations with Random Perturbations (in Russian)
45.
Astafyeva, Mariya N. Year of defence: 1989
Thesis
title: The Averaging of Multifrequency
Oscillation Systems with Impulsive Action (in Russian)
46.
Shpakovich, Olga V. Year of defence: 1989
Thesis
title: Asymptotic Expansions and The
Smoothness of Invariant Torus of Quasilinear Differential System with Respect
to a Parameter (in Russian)
47.
Nefyodova, Galina D. Year of defence: 1989
Thesis
title: Investigating Periodic
Solutions of Differential-Operator Equations (in Russian)
48.
Filippov, Maxim G. Year of defence: 1990
Thesis
title: The Reducibility of Almost
Periodic Systems (in Russian)
49.
Kurbanbaev, Oras Year of defence: 1990
Thesis
title: Boundary Problems for
Differential Equations with Impulsive Action (in Russian)
50.
Suhomlin, Alexandr A. Year of defence: 1990
Thesis
title: Investigating Systems of
Difference Equations with Constant and Slowly Changing Frequencies (in Russian)
51.
Mustafaev, Hamid Year of defence: 1991
Thesis
title: The Averaging Method for
Differential Systems with Variable Deviating Argument (in Russian)
52.
Sarybaev, M. Year of defence: 1991
Thesis
title: The Averaging of Multifrequency
Evolutionary Systems with Slowly Changing Frequencies (in Russian)
53.
Martynyuk, Sergey V. Year of defence: 1992
Thesis
title: Investigating Solutions of Boundary
Problems for Systems of Nonlinear Differential Equations (in Russian)
54.
Trofimchuk, Elena P. Year of defence: 1992
Thesis
title: Iterative Methods of
Investigating Differential Systems with a Singularity (in Russian)
55.
Luchyk, Vasyl Ye. Year of defence: 1992
Thesis
title: Investigating Countable
Differential Systems with Impulsive Action (in Ukrainian)
56.
Ovchar, Rayisa F. Year of defence: 1993
Thesis
title: Crytical Boundary Problems for
Differential Systems with Impulsive Action (in Ukrainian)
57.
Svistun, Oxana P. Year of defence: 1994
Thesis
title: Separatrix Manifolds of Linear
Impulsive Systems (in Russian)
58.
Protsak, Lyudmyla V. Year of defence: 1996
Thesis
title: Qualitative Analysis of Bounded Spherically Symmetric Solutions of
Nonlinear Equations of the Field Theory
59.
Kopas, Inna M. Year of defence: 1996
Thesis
title: Invariant Sets of Ito
Stochastic Systems on the Plane (in Ukrainian)
60.
Ateiwi,
Ali Mahmud Hamad Year of defence: 1997
Thesis
title: Oscillation Properties of
Solutions of Difference Equations and Their Stability (in Russian)
61.
Yanchuk, Sergiy V. Year of defence: 1997
Thesis
title: Investigating Nonautonomous
Differential Equations and Chua Systems (in Ukrainian)
62.
Elnazarov, Addis A. Year of defence: 1998
Thesis
title: Some Questions of the Theory of
Countable Systems and Asymptotic Methods (in Ukrainian)
63.
Nabil, Ahmad Ali Year of defence: 1998
Thesis
title: Invariant Sets and Oscillation
Properties of Solutions of Some Classes of Impulsive Systems (in Ukrainian)
64.
Popovych, Olexandr V. Year of defence: 1999
Thesis
title: Asymptotic Behaviour and
Bifurcations of Solutions of Chains of Coupled Oscillators (in Ukrainian)
65.
Veryovkina, Hanna V. Year of defence: 1999
Thesis
title: Invariant Sets of Countable
Systems of Differential and Difference Equations (in Ukrainian)
66.
Prykarpatsky,
Yarema A. Year of defence: 1999
Thesis
title: Symplectic Analysis of Integral
Manifolds of Completely Integrable Hamiltonian Systems and of Their Adiabatic
Perturbations (in Ukrainian)
67.
Teplinsky, Olexiy Yu. Year of defence: 1999
Thesis
title: Asymptotic Expansions for Eigenvalues and Eigenfunctions of Boundary
Problems with Rapidly Changing CoefficientsU
68.
Nyzhnyk, Ipyna L. Year of defence: 1999
Thesis
title: Space-Time Analysis of Solutions
of Some Nonlinear Chains (in Ukrainian)
69.
Petryshyn, Yaroslav R. Year of defence: 2001
Thesis
title: The Averaging of Multiple-Point
Problems for Nonlinear Oscillation Systems with Slowly Changing Frequencies (in
70.
Davydenko, Andriy A. Year of defence: 2003
Thesis
title: Investigating Behaviour of
Solutions of Nonlinear Differential Systems in the Neighbourhood of Their
Invariant Toroidal Manifolds (in Ukrainian)
71.
Stepanenko,
Nataliya V. Year of defence: 2003
Thesis
title: Lyapunov Functions with Alternating
Sign in the Theory of Differential Equations (in Ukrainian)
72.
Stelmaschuk,
Lyudmyla V. Year of defence: 2004
Thesis
title: Periodic Solutions of
Differential Equations with a Delay (in Ukrainian)
73.
Boichuk, Andriy O. Year of defence: 2004
Thesis
title: Bounded on Real Axis Solutions
of Systems of Ordinary Differential Equations with a Perturbation (in Ukr)
74.
Omelchenko, Iryna V. Year of defence: 2005
Thesis
title: The Synchronization and
Stability of Solutions of Coupled Mappings Systems (in Ukrainian)
75.
Chuiko, Olexiy S. Year of defence: 2006
Thesis
title: Impulsive Boundary Problems for
Systems with a Switching (in Ukrainian)
76.
Dilna, Nataliya Z. Year of defence: 2006
Thesis title: The Solvability of Initial-Value Problem for Positive
Systems of Functional-Differential Equations (in Ukra)
EDITORIAL:
Prof. Anatoly Samoilenko is a member of Editorial Boards of the following
journals:
·
Nonlinear Oscillations
(Editor-in-Chief)
·
Ukrainian Mathematical Journal
(Editor-in-Chief)
·
Reports of the
National Academy of Sciences of Ukraine
·
Bulletin of the
National Academy of Sciences of Ukraine
·
Ukrainian
Mathematical Bulletin (Editor-in-Chief)
·
Memoirs on Differential Equations
and Mathematical Physics
·
Georgian Mathematical Journal
International
Journal of Dynamical Systems and Differential Equations
SCIENTIFIC PUBLICATIONS: Abstracts books and articles written by A. M. Samoilenko can be found
in MathSciNet
MISCELLANEOUS: Interview of Academician Mamadsho Ilolov
An
article in the "Molod Ukrayiny" newspaper 2008-12-24</P<
div>
Anatoliy
Samoilenko is a recipient of the order "For development of
On June, 27 the Allukrainian
measure of International Academic Rating “Golden Fortune” devoted Day of
Constitution of Ukraine took place in the National academy of sciences of
On presentation of the National academy of sciences
of Ukraine in a nomination „For the substantial personal contribution to
development of mathematical science in the world" by Order „For
Development of Ukraine the name of M. Grushevsky” was the recipient of an award
Anatoliy Samoylenko - a director of Institute
of mathematics of NAS of Ukraine, actual member of NAS of Ukraine and European
AS.
Every
winner of Rating carries by his activity in the world the kind name of our
nation. It is pleasant to acknowledge that nominants are those people which by
their labour personify
Pictures
are kindly given by MARTIS “Golden Fortune” with possibility of free public use
and distribution.
·
Photo 1
Photo 2
Photo 3
Photo 4
Photo 5
Photo 6
Photo 7
2008-06-27</P< div>
Anatoly
Samoilenko is a recipient of the order of Yaroslav Mudry of V-th degree
For the ponderable personal
contribution to development of domestic science, preparation of highly skilled
specialists, long-term conscientious labour and on occasion of Day of science
Anatoly Samoilenko became a recipient of the order of Yaroslav Mudry of V-th
degree (in order to the decree 442/2008 from May, 14 of President of Ukraine).
Text of Decree
2008-05-15</P< div>
Bogolyubov
Readings, 2008 - announce
The international conference
DIFFERENTIAL EQUATIONS, THEORY OF FUNCTIONS AND THEIR APPLICATIONS is organized
on the occasion of the 70th birthday of academician A. M. SAMOILENKO on June
16–21, 2008, in the framework of BOGOLYUBOV READINGS, 2008. The conference will
be held at the
First announcement (in English) First announcement (in Ukrainian) Site of the Conference 2008-03-20</P< div>
Method
of Lyapunov Functions and Its Applications", MFL-2008 - announce
The Nineth International
Scientific Workshop "Method of Lyapunov Functions and Its
Applications", MFL-2008, is held in Alushta,
First announcement (in Russian) 2008-03-20</P< div>
Anatoly
Samoilenko is 70
On
·
Київський
полiтехнiк - 1, 2008 (PDF) Coversheet of the
booklet
·
Celebration in
the IM NAS of Ukraine An article in the "Kyiv Polytechnic" newspaper 2008-01-02</P< div>
Institutes
of NAS of Ukraine (Who is Who in Kyjiv)
Information about the Director
of the
PDF
2007-03-22</P< div>
Anatoly
Samoilenko (Address Book of the NAS of
Anatoly Samoilenko (in the
Address Book of the NAS of
Coversheet
PDF
2007-03-22</P< div>
Anatoly
Samoilenko is 60
On
An
article in the journal "Differential Equations" 1998-01-02</P< div>
LINKS:.
Quasiperiodic
oscillations, an article in Scholarpedia
·
An article on the web
pages of The Vernadsky National Library of
Ukraine, contains references to scientific publications of
A. M. Samoilenko
·
Anatoly
Mykhailovych Samoilenko, an article in Wikipedia (in Ukrainian)
Anatoly
Mykhailovych Samoilenko, an article in The MacTutor History of
Mathematics archive
CONTACTS: Mailing address
Institute of
Mathematics of the NAS of Ukraine,
Phone +380 44
2345316 Fax +380 44
2352010 Email sam
imath.kiev.ua.
MATHEMATICS GENEALOGY PROJECT
A
service of the NDSU
Department of
Mathematics, in association with the American Mathematical Society
ANATOLIY MIKHAILOVICH SAMOILENKO
Ph.D. Institute of Mathematics, Kiev 1963
Dissertation: Mathematics Subject Classification:
34—Ordinary differential equations
Advisor: Yurii
Alekseevich Mitropolsky
Students: Click here to see
the students ordered by family name.
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1998 |
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1999 |
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1999 |
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According
to our current on-line database, Anatoliy Samoilenko has 66 students
and 80 descendants.
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Mathematics, in association with the American Mathematical Society.
Anatoly Mykhailovych Samoilenko
1938
-
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JOC/EFR © September 2009 The URL of this page is: |
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Anatoly Mykhailovych Samoilenko
Born: 2
Jan 1938 in Potiivka, Radomyshl, Zhytomyr oblast, Ukraine
Anatoly Mykhailovych Samoilenko was born in western Ukraine. He entered Shevchenko
Kiev State University in 1955 intending to read for a degree in geology.
However, his interests turned to mathematics and he graduated from the
Department of Mechanics and Mathematics in 1960. His first paper, entitled Application
of the averaging method to the investigation of oscillations, induced by
instantaneous impulses in self-oscillating systems of the second order with a
small parameter (Russian), was published in the following year. He then
studied graduate level courses at the Institute of Mathematics of the Academy of Sciences of the Ukraine in Kiev where
he was taught by, among others, Nikolai
Mitrofanovich Krylov, Nikolai
Nikolaevich Bogolyubov and Yurii
Alekseevich Mitropolskii. In 1963 he defended his candidate-degree thesis Application
of Asymptotic Methods to the Investigation of Nonlinear Differential Equation with Irregular Right-Hand
Side. He then continued to work at the Institute, supervised by Yurii
Mitropolskii, towards his qualification to become a university teacher. In
1967 he defended his doctoral thesis [equivalent to the German habilitation] Some
Problems of the Theory of Periodic and Quasiperiodic Systems which was
examined by Vladimir
Igorevich Arnold and Dmitrii
Viktorovich Anosov.
Samoilenko had been appointed as a senior
research fellow at the Institute of Mathematics of the Academy of Sciences of the Ukraine in Kiev in
1965, and he also taught at the Shevchenko Kiev State University from 1967. In
2000, he reminisced about his years as a young scientist at the Institute (see
[2]):-
In Kiev, at the Institute of Mathematics,
great scientists were my teachers ... In many fields of science,
they were 'trendsetters' on the scale of the Soviet Union. It is very important
for a young scientist to belong to a serious scientific school. Probably, only
in this case he has a chance to obtain results at the world level. The
atmosphere of a good scientific school itself stimulates a young scientist to
carry out his research work at the cutting edge of modern science. And if he
suddenly opens a new direction in science, then his name immediately gains
recognition
In 1974 Samoilenko became a professor and
headed the Integral and Differential Equations section within the Department of
Mechanics and Mathematics at the Kiev State University. Four years later, in
1978, he was elected a Corresponding Member of the Ukrainian Academy of Sciences. In 1987
Samoilenko was appointed head of the Department of Ordinary Differential
Equations at the Institute of Mathematics of the Ukrainian Academy of Sciences in Kiev. In the following
year he became head of the Institute.
Samoilenko worked on both linear and
nonlinear ordinary differential equations. In the 1960s he studied nonlinear
ordinary differential equations with impulsive action publishing papers such as
Systems with pulses at given times (1967). His work on boundary-value
problems led to papers Numerical-analytic method for the investigation of
systems of ordinary differential equations (2 parts both published in 1966)
and many other innovative works. His first major monograph was Method of
Accelerated Convergence in Nonlinear Mechanics (Russian) (1969) which he
wrote in collaboration with his teachers Nikolai
Nikolaevich Bogolyubov and Yurii
Alekseevich Mitropolskii. Petryshyn
writes in [3]:-
His most original contribution was the
numeric-analytic method for the study of periodic solutions of differential
equations with periodic right hand side. A monograph on the method of
accelerated convergence, written jointly by Samoilenko, N
Bogolyubov, and Yu
Mitropolskii in 1969, gives an
exhaustive analysis of the speed of convergence, error estimates, stability,
and applications.
Eugene Leimanis writes:-
This monograph contains an account of a
basic method in nonlinear mechanics and of some important results obtained by
this method. The latter is known as the method of successive changes of
variables and its aim is to ensure the convergence of the iteration process in
solving systems of nonlinear differential equations.
An English translation of this monograph was
published in 1976.
With contributions from Mikola Oleksiiovich
Perestyuk, Samoilenko put the application of asymptotic methods to solve
discontinuous and impulsive systems on a rigorous foundation. Their work
continued over a long period and was written up in the important joint
monograph Impulsive Differential Equations (Russian) in 1987. An English
translation was published in 1995.
Samoilenko was to undertake several joint
projects with Mitropolskii
who had become the Director of the Institute of Mathematics in Kiev where he
worked. In addition to the work mentioned above they worked jointly on the
theory of multifrequency oscillation, then later on a system of evolutionary
equations with periodic and conditional periodic coefficients. This last work
was done in collaboration with D Martyniuk and the three of them published, in
1984, the monograph Systems of Evolution Equations with Periodic and
Quasiperiodic Coefficients (Russian) giving an excellent account of their
results. In 1987 Samoilenko published the book Elements of the Mathematical
Theory of Multifrequency Oscillations. Invariant Tori (Russian). This was translated
into English and published in 1991. The authors of [2]
highlight this 1987 publication:-
The beginning of this fruitful creative
period was marked by [this]
fundamental monograph devoted to the qualitative theory of invariant manifolds
of dynamical systems. This monograph served as a foundation for the
construction of the general perturbation theory of invariant tori of nonlinear
dynamical systems on a torus.
Further fundamental monographs continued to
be written by Samoilenko and his collaborators. For example, with Mitropolskii
and V L Kulik, he wrote Investigation of Dichotomy of Linear Systems of
Differential Equations Using Lyapunov Functions (Russian) published in
1990.
Samoilenko has written a series of monographs
with N I Ronto. They wrote Numerical-analytic methods for the study of
periodic solutions (Russian) in 1976 and followed this with a new work on
similar topics entitled Numerical-analytic methods for investigating the
solutions of boundary value problems (Russian) in 1986. In 1992 they
published Numerical-analytic methods in the theory of boundary value problems
for ordinary differential equations. The Preface begins:-
In this monograph we present new promising
directions in the development of numerical-analytic methods for studying the
solutions of nonlinear boundary value problems in the case of a general form of
boundary conditions, problems with controlling parameters, and also boundary
value problems for impulse systems. In the tradition of earlier papers, we
study, from the same viewpoint, both periodic and non-periodic boundary value
problems.
With Petryshyn,
Samoilenko has written books such as Multifrequency oscillations of
nonlinear systems (Ukrainian) (1998) which appeared in an English
translation in 2004. In the same year another English book appeared, this being
a joint work with A A Boichuk entitled Generalized inverse operators and
Fredholm boundary-value problems:-
The book is devoted to the theory of
generalized inverses of operators in a Banach space and its applications to
linear and weakly nonlinear boundary-value problems for various classes of
functional-differential equations, including systems of ordinary differential
and difference equations, systems of differential equations with delay, systems
with impulse action, and integro-differential systems.
A recent book by Samoilenko, written with Yu
V Teplinskii, is Elements of the mathematical theory of evolution equations
in Banach spaces (Ukranian) (2008). This book is based on lecture notes of
courses given by the authors to graduate and postgraduate students at the
University of Kiev.
Although we have taken a brief look at
Samoilenko's mathematics by looking at a few of the monographs he has written,
we must not give the impression that these monographs are his only
publications. Nothing could be further from the truth, for MathSciNet lists
over 400 publications by Samoilenko. Although some of his publications are
single-author, nevertheless, he has nearly 200 co-authors.
As well as having a reputation as an
outstanding researcher, Samoilenko is renowned as a fine teacher. The book Differential
equations : Examples and problems (Russian) (1984)
written with S A Krivosheya and N A Perestyuk contains the following authors'
summary:-
We give the solutions of typical problems
in a course on ordinary differential equations. The text is structured so as to
develop practical skills in students for solving and investigating differential
equations describing evolutionary processes in different fields of natural
science. Special attention is given to questions that are inadequately
discussed (or entirely absent)
in existing textbooks, and with which students, as experience shows, are not
very familiar. The text is intended for students in mathematical physics
departments of universities, technical schools and pedagogical institutes.
Another aspect of Samoilenko's contributions
is his editorial work for many different journals. He is on the Editorial Board
of: Nonlinear Oscillations; the Ukrainian Mathematical Journal; Reports
of the Ukrainian Academy of Sciences; the Bulletin of the Ukrainian
Academy of Sciences; the Ukrainian Mathematical Bulletin; In the
World of Mathematics; the Memoirs on Differential Equations and
Mathematical Physics; the Miskolc Mathematical Notes; the Georgian
Mathematical Journal; and the International Journal of Dynamical Systems
and Differential Equations.
Samoilenko has received, and continues to
receive, widespread recognition for his outstanding achievements. The honours
he has received include: the Ostrovskii Republican Prize (1968), the Krylov
Prize (1981), the State Prize of Ukraine for science and technology (1985), a
second award of the State Prize (1996), the Bogolyubov
Prize (1998), the Lavrentev Prize (2000), the Ostrogradskii Silver Medal
(2001), and the Ostrogradski
Prize of the Ukrainian Academy of Sciences (2004). He was
given the honorary title of "Soros Professor" in 1996 and, two years
later, the title of the Honoured Worker of Science and Technology of the
Ukraine. He has been elected to the European Academy of Sciences (2002) and the
Shevchenko Scientific Society. In 2006 he was elected a Corresponding Member of
Accademia Peloritana dei Pericolanti in Messina, Sicily.
Anatoly Mykhailovych Samoilenko is married to
Lypa Hryhorivna; they have a son Anatolii who is a geneticist with a doctorate
from Göttingen University. Lypa Hryhorivna is also scientist who worked for
many years at the Institute of Cybernetics of the Ukrainian Academy of
Sciences.
Article by: J J O'Connor and E F Robertson
Click on this link to see a list of the Glossary entries
for this page
|
List of References
(3 books/articles) |
|
|
Other Web
sites |
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|
JOC/EFR © September 2009 |
School of
Mathematics and Statistics |
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The URL of this
page is: |
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This is Google's cache of
http://www-history.mcs.st-and.ac.uk/Biographies/Samoilenko.html.
It is a snapshot of the page as it appeared on
Anatoly
Mykhailovych Samoilenko
Born: 2 Jan 1938 in Potiivka, Radomyshl, Zhytomyr oblast, Ukraine
Anatoly Mykhailovych
Samoilenko was born in western
Samoilenko had been appointed as a senior research fellow at the
In
In 1974 Samoilenko became a professor and headed the
Integral and Differential Equations section within the Department of Mechanics
and Mathematics at the
Samoilenko worked on both linear and nonlinear ordinary
differential equations. In the 1960s he studied nonlinear ordinary differential
equations with impulsive action publishing papers such as Systems with
pulses at given times (1967). His work on boundary-value problems led to
papers Numerical-analytic method for the investigation of systems of
ordinary differential equations (2 parts both published in 1966) and many
other innovative works. His first major monograph was Method of Accelerated
Convergence in Nonlinear Mechanics (Russian) (1969) which he wrote in
collaboration with his teachers Nikolai
Nikolaevich Bogolyubov and Yurii
Alekseevich Mitropolskii. Petryshyn
writes in [3]:-
His most original contribution was the
numeric-analytic method for the study of periodic solutions of differential
equations with periodic right hand side. A monograph on the method of accelerated
convergence, written jointly by Samoilenko,
N
Bogolyubov, and Yu
Mitropolskii in 1969, gives an
exhaustive analysis of the speed of convergence, error estimates, stability,
and applications.
Eugene Leimanis writes:-
This monograph contains an account of a
basic method in nonlinear mechanics and of some important results obtained by this
method. The latter is known as the method of successive changes of variables
and its aim is to ensure the convergence of the iteration process in solving
systems of nonlinear differential equations.
An English translation of this monograph was
published in 1976.
With contributions from Mikola Oleksiiovich
Perestyuk, Samoilenko
put the application of asymptotic methods to solve discontinuous and impulsive
systems on a rigorous foundation. Their work continued over a long period and
was written up in the important joint monograph Impulsive Differential
Equations (Russian) in 1987. An English translation was published in 1995.
Samoilenko was to undertake several joint projects with Mitropolskii
who had become the Director of the
The beginning of this fruitful creative
period was marked by [this]
fundamental monograph devoted to the qualitative theory of invariant manifolds
of dynamical systems. This monograph served as a foundation for the
construction of the general perturbation theory of invariant tori of nonlinear
dynamical systems on a torus.
Further fundamental monographs continued to
be written by Samoilenko
and his collaborators. For example, with Mitropolskii
and V L Kulik, he wrote Investigation of Dichotomy of Linear Systems of
Differential Equations Using Lyapunov Functions (Russian) published in
1990.
Samoilenko has written a series of monographs with N I Ronto.
They wrote Numerical-analytic methods for the study of periodic solutions
(Russian) in 1976 and followed this with a new work on similar topics entitled Numerical-analytic
methods for investigating the solutions of boundary value problems
(Russian) in 1986. In 1992 they published Numerical-analytic methods in the
theory of boundary value problems for ordinary differential equations. The
Preface begins:-
In this monograph we present new promising
directions in the development of numerical-analytic methods for studying the
solutions of nonlinear boundary value problems in the case of a general form of
boundary conditions, problems with controlling parameters, and also boundary
value problems for impulse systems. In the tradition of earlier papers, we
study, from the same viewpoint, both periodic and non-periodic boundary value
problems.
With Petryshyn,
Samoilenko has
written books such as Multifrequency oscillations of nonlinear systems
(Ukrainian) (1998) which appeared in an English translation in 2004. In the
same year another English book appeared, this being a joint work with A A
Boichuk entitled Generalized inverse operators and Fredholm boundary-value
problems:-
The book is devoted to the theory of
generalized inverses of operators in a Banach space and its applications to
linear and weakly nonlinear boundary-value problems for various classes of
functional-differential equations, including systems of ordinary differential
and difference equations, systems of differential equations with delay, systems
with impulse action, and integro-differential systems.
A recent book by Samoilenko, written with Yu V Teplinskii, is Elements
of the mathematical theory of evolution equations in Banach spaces
(Ukranian) (2008). This book is based on lecture notes of courses given by the
authors to graduate and postgraduate students at the
Although we have taken a brief look at
Samoilenko's mathematics by looking at a few of the monographs he has written,
we must not give the impression that these monographs are his only
publications. Nothing could be further from the truth, for MathSciNet lists
over 400 publications by Samoilenko.
Although some of his publications are single-author, nevertheless, he has
nearly 200 co-authors.
As well as having a reputation as an
outstanding researcher, Samoilenko
is renowned as a fine teacher. The book Differential equations
: Examples and problems (Russian) (1984) written with S A Krivosheya
and N A Perestyuk contains the following authors' summary:-
We give the solutions of typical problems
in a course on ordinary differential equations. The text is structured so as to
develop practical skills in students for solving and investigating differential
equations describing evolutionary processes in different fields of natural
science. Special attention is given to questions that are inadequately
discussed (or entirely absent)
in existing textbooks, and with which students, as experience shows, are not
very familiar. The text is intended for students in mathematical physics
departments of universities, technical schools and pedagogical institutes.
Another aspect of Samoilenko's contributions
is his editorial work for many different journals. He is on the Editorial Board
of: Nonlinear Oscillations; the Ukrainian Mathematical Journal; Reports
of the Ukrainian Academy of Sciences; the Bulletin of the Ukrainian Academy
of Sciences; the Ukrainian Mathematical Bulletin; In the World of
Mathematics; the Memoirs on Differential Equations and Mathematical
Physics; the Miskolc Mathematical Notes; the Georgian
Mathematical Journal; and the International Journal of Dynamical Systems
and Differential Equations.
Samoilenko has received, and continues to receive, widespread
recognition for his outstanding achievements. The honours he has received
include: the Ostrovskii Republican Prize (1968), the Krylov Prize (1981), the
State Prize of Ukraine for science and technology (1985), a second award of the
State Prize (1996), the Bogolyubov
Prize (1998), the Lavrentev Prize (2000), the Ostrogradskii Silver Medal
(2001), and the Ostrogradski
Prize of the Ukrainian Academy of Sciences (2004). He was
given the honorary title of "Soros Professor" in 1996 and, two years
later, the title of the Honoured Worker of Science and Technology of the
Anatoly Mykhailovych
Samoilenko is
married to Lypa Hryhorivna; they have a son Anatolii who is a geneticist with a
doctorate from
Article by: J J O'Connor and E F Robertson
Click on this link to see a list of the Glossary entries
for this page
|
List of References
(3 books/articles) |
|
|
Other Web
sites |
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(Chronologically) |
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JOC/EFR © September 2009 |
School of
Mathematics and Statistics |
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The URL of this
page is:http://www-history.mcs.st-andrews.ac.uk/Biographies/Samoilenko.html |
||
Anatoly
Samoilenko
From Wikipedia, the free encyclopedia
Jump to: navigation,
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Anatoly
Samoilenko (born 1938) is a Ukrainian mathematician.
He graduated from the University of Kiev in 1960, and then taught
there from 1967 to 1988. His most original contribution was the
numeric-analytic method for the study of periodic solutions of differential equations with periodic
right-hand side.
[edit] External
links
- O'Connor, John J.; Robertson, Edmund F., "Anatoly
Samoilenko", MacTutor
History of Mathematics archive, University of
St Andrews, http://www-history.mcs.st-andrews.ac.uk/Biographies/Samoilenko.html.
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Ukrainian scientist is a stub. You can help Wikipedia by expanding
it. |
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Retrieved from "http://en.wikipedia.org/wiki/Anatoly_Samoilenko"
Categories: Ukrainian scientists | Ukrainian mathematicians | 1938 births | Living people | Ukrainian people stubs | European scientist stubs | European mathematician stubs
Самойленко
Анатолій
Михайлович
Матеріал з
Вікіпедії —
вільної
енциклопедії.
Перейти до: навігація,
пошук
Для інших
людей з ім'ям
Самойленко,
дивіться Самойленко.
|
|
Анато́лій
Миха́йлович
Само́йленко (2
січня 1938, с. Потіївка,
тепер Радомишльського
району Житомирської
області) —
український
математик.
Від 1978
член-кореспондент,
тепер
академік
НАН України.
Директор Інституту
математики
НАН України. |
Зміст
[сховати] |
[ред.] Огляд
наукової
діяльності
Академік
НАН України
А. М. Самойленко —
засновник
наукової
школи з
теорії багаточастотних
коливань та
теорії
імпульсних
систем, що
визнана
математичними
центрами
світу, один з
провідних
спеціалістів
у галузі
звичайних диференціальних
рівнянь та
теорії
нелінійних
коливань.
З 1988 року
А. М. Самойленко
є директором Інституту
математики
НАН України,
з 2006
року —
академіком-секретарем
Відділення
математики НАН
України. 1978 р.
його було
обрано членом-кореспондентом,
а 1995 р. —
дійсним
членом Національної
академії
наук України.
З 2002 р.
є дійсним
членом
Європейської
АН.
А. М. Самойленко —
автор біля 400
наукових
праць, серед
яких 30 монографій
та 15 учбових
посібників.
Більшість його
робіт
перекладено
за кордоном.
Наукові
інтереси
А. М. Самойленка
охоплюють
широке коло
складних та
актуальних
математичних
проблем.
Міжнародне
визнання його
досліджень
підтверджують
загальновизнані
в світовій
математичній
літературі
терміни:
«чисельно-аналітичний
метод
Самойленка»,
«функція
Гріна—Самойленка»
та інші. Опубліковані
ним
монографії
внесли
фундаментальний
вклад у
математику
та її викладання.
А. М. Самойленко
приділяє
велику увагу
підготовці
високо-кваліфікованих
наукових
кадрів. Серед
його учнів — 20
докторів та 72
кандидатів
фізико-математичних
наук, які
успішно працюють
у багатьох
математичних
центрах ряду
країн.
Професор
А. М. Самойленко
викладає в Київському
національному
університеті
ім. Т.
Шевченка та Національному
технічному
університеті
України «КПІ».
Він є членом
Українського
та
Американського
математичних
товариств,
членом редакційних
колегій
українських
та зарубіжних
журналів,
серед них «Український
математичний
журнал»,
«Доповіді
Національної
академії
наук
України», «Нелінійні
коливання», «У
світі
математики»,
«Nonlinear Mathematical Physics», «Memoirs on Differential Equations and
Mathematical Physics» та інші.
А. М. Самойленко
нагороджений
Орденом
Дружби
народів (1984) та Орденом
«За заслуги» III
ступеня (2003), Орденом
князя
Ярослава
Мудрого V
ступеня (2008),
Почесною
Грамотою
Президії
Верховної Ради
України (1987), є
лауреатом Державних
премій
України в
галузі науки
і техніки (1985, 1996),
Республіканської
комсомольської
премії ім. М.
Островського
(1968),
премій
Академії
наук України
ім. М.
Крилова (1981) та М.
Боголюбова (1998),
премій НАН
України ім. М.
Лаврентьєва
(2000), М.
Остроградського
(2004) та Ю.
Митропольського
(2010),
«Соросівський
професор» (1998), Заслужений
діяч науки і
техніки
України (1998).
[ред.] Біографічні
відомості
- 02.01.1938 р. —
народився в
с. Потіївка
Радомишльського
району Житомирської
області.
Одружений,
має сина.
- 1960 р. —
закінчив
механіко-математичний
факультет Київського
держуніверситету
ім. Т. Г. Шевченка
за
спеціальністю
«математика».
- 1960—1963 рр. —
аспірант Інституту
математики
АН УРСР.
- 1963—1974 р.р. —
працював у Інституті
математики
АН УРСР.
- 1974—1987 р.р. —
завідувач
кафедри
інтегральних
та диференціальних
рівнянь механіко-математичного
факультету
Київського
держуніверситету
ім. Т. Г. Шевченка.
- З 1987 р. і
до ц.ч. —
завідувач
відділу
звичайних
диференціальних
рівнянь Інституту
математики
НАН України.
- З 1988 р. і
до ц.ч. —
директор Інституту
математики
НАН України.
- З 1996 р. і
до ц.ч. —
завідувач
кафедри
диференціальних
рівнянь
фізико-математичного
факультету НТУУ
«КПІ».
- З 2006 р. і
до ц.ч. —
академік-секретар
Відділення
математики
НАН
України.
[ред.] Наукові
ступені та
звання
- 1963 р. —
захист
кандидатської
дисертації
«Применение
асимптотических
методов для
исследования
нелинейных
дифференциальных
уравнений с
нерегулярной
правой
частью».
- 1968 р. —
захист
докторської
дисертації
«Некоторые
вопросы
теории
периодических
и квазипериодических
систем».
- 1974 р. —
професор
кафедри
інтегральних
та диференціальних
рівнянь механіко-математичного
факультету
Київського
держуніверситету
ім.
Т. Г. Шевченка.
- 1978 р. —
член-кореспондент
Академії
наук УРСР
зі
спеціальності
«математика».
- 1995 р. —
дійсний член
НАН
України.
- 2002 р. —
дійсний
член Європейської
Академії
Наук.
……………………………………………………………………...……………………………………………………………
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GREAT MEN NEVER DIE, GREAT MEN NEVER DIE, GREAT MEN NEVER DIE
………………………………………………………………………………………………………………………………………
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A service of the NDSU
Department
of Mathematics, in association with the American Mathematical
Society
Yurii Alekseevich Mitropolsky
Ph.D. Kiev State University Dissertation: Advisor: Nikolay
Nikolaevich Bogolyubov
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Institute of Mathematics,
Kiev |
1966 |
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Institute of
Mathematics, Kiev |
1966 |
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Institute of
Mathematics, Kiev |
1966 |
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Institute of
Mathematics, Kiev |
1967 |
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1967 |
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Institute of
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1967 |
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Institute of
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1968 |
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Institute of Mathematics,
Kiev |
1968 |
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Institute of
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1968 |
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1968 |
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1969 |
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1969 |
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1969 |
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1969 |
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Institute of Mathematics,
Kiev |
1969 |
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Institute of
Mathematics, Kiev |
1970 |
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Mathematics, Kiev |
1970 |
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Mathematics, Kiev |
1970 |
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Institute of
Mathematics, Kiev |
1971 |
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Institute of
Mathematics, Kiev |
1972 |
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Institute of
Mathematics, Kiev |
1972 |
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Institute of
Mathematics, Kiev |
1972 |
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Institute of
Mathematics, Kiev |
1972 |
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Institute of Mathematics,
Kiev |
1972 |
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Institute of
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1972 |
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1972 |
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1975 |
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Institute of
Mathematics, Kiev |
1975 |
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Institute of
Mathematics, Kiev |
1975 |
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Institute of Mathematics,
Kiev |
1975 |
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Institute of
Mathematics, Kiev |
1975 |
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Institute of
Mathematics, Kiev |
1977 |
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Kiev State University |
1978 |
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Institute of
Mathematics, Kiev |
1978 |
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Institute of
Mathematics, Kiev |
1980 |
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Institute of
Mathematics, Kiev |
1980 |
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Institute of
Mathematics, Kiev |
1981 |
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Mathematics, Kiev |
1982 |
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1982 |
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1982 |
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1982 |
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Mathematics, Kiev |
1982 |
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Institute of
Mathematics, Kiev |
1982 |
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Kiev State University |
1983 |
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Institute of
Mathematics, Kiev |
1983 |
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1984 |
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1984 |
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1984 |
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Mathematics, Kiev |
1984 |
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Institute of Mathematics,
Kiev |
1984 |
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Mathematics, Kiev |
1984 |
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1984 |
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Institute of Mathematics,
Kiev |
1986 |
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According
to our current on-line database, Yurii Mitropolsky has 87 students and 176 descendants.
We welcome any additional information. If you have additional information or
corrections regarding this mathematician, please use the update form. To submit students of this
mathematician, please use the new data form. The Mathematics Genealogy
Project is in need of funds to help pay for student help and other associated
costs. If you would like to contribute, please donate online using credit card or bank
transfer or mail your tax-deductible contribution. To: Mathematics Genealogy
Project, Department of Mathematics, North Dakota State University, P. O. Box
6050, Fargo, North Dakota 58108-6050.
Yurii
Mitropolskiy
From Wikipedia, the free encyclopedia.
Yurii Alekseevich Mitropolskiy (3 January 1917 — 14
June 2008) was a renowned Soviet, Ukrainian mathematician
known for his contributions to the fields of dynamical systems and nonlinear oscillations. Yurii Mitropolskiy
was a student of a theoretical physicist and mathematician Nikolay Bogolyubov.
Books
1.
N. N. Bogoliubov and Y. A. Mitropolski. Asymptotic
methods in the theory of non-linear oscillations. New York: Gordon and
Breach, 1961 (translated from Russian).
2.
N. N. Bogoljubov, Ju. A. Mitropoliskii, and A.
M. Samoilenko. Methods of accelerated convergence in nonlinear mechanics.
New York: Springer-Verlag, 1976 (translated from Russian).
3.
Yu. A. Mitropolaky and A. K. Lopatin. Nonlinear
mechanics, groups and symmetry. Dordrecht; Boston: Kluwer Academic
Publishers, 1995. ISBN
079233339X.
4.
Yu. A. Mitropolʹskii. Problems of the
asymptotic theory of nonstationary vibrations. Jerusalem: Israel Program
for Scientific Translations, 1965.
5.
Yu. A. Mitropolsky, A. M. Samoilenko, and D. I.
Martinyuk. Systems of evolution equations with periodic and quasiperiodic
coefficients. Dordrecht; Boston: Kluwer Academic, 1993. ISBN
0792320549.
6.
Integrable dynamical systems (coauthor).
See also Krylov-Bogoliubov-Mitropolskiy asymptotic
method
Retrieved
from "http://en.wikipedia.org/wiki/Yurii_Mitropolskiy"
Categories: Mathematical physicists | Mathematicians | 20th-century mathematicians | Ukrainian scientists | Ukrainian mathematicians | Soviet scientists | Soviet mathematicians | 1917 births | 2008 deaths | Ukrainian people stubs
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может быть
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в статьях русского
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только при
соблюдении критериев
добросовестного
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Любое
другое
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русском
разделе
Википедии,
так и вне неё)
может стать
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Новую
фотографию
невозможно
сделать, что
при
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альтернативных
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………………………………………………………………………
………………………………………………………………………
(GREAT MEN NEVER DIE)
A service of the NDSU Department of
Mathematics, in association with the American Mathematical Society
Nikolay Nikolaevich Bogolyubov
(Bogolyubov
means one who loves God-Almighty)
Ph.D. Kiev State University
Dissertation:
Advisor: Nikolay
Mitrofanovich Krylov
Students: Click here to see
the students ordered by family name.
|
Name |
School |
Year |
Descendants |
|
|
|
176 |
|
|
Steklov Institute of
Mathematics |
|
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Steklov Institute of
Mathematics |
|
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|
Steklov Institute of
Mathematics |
|
1 |
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|
1942 |
211 |
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1942 |
84 |
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1950 |
|
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1950 |
2 |
|
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Steklov Institute of
Mathematics |
1953 |
1 |
|
|
|
1955 |
|
|
|
Steklov Institute of
Mathematics |
1964 |
|
According
to our current on-line database, Nikolay Bogolyubov has 11 students
and 486 descendants.
We welcome any additional information. Mathematics Genealogy Project is in need
of funds to help pay for student help and other The associated costs. If you
would like to contribute, please donate
online using credit card or bank transfer or mail your tax-deductible
contribution to Mathematics Genealogy Project Department of Mathematics North
Dakota State University P. O. Box 6050 Fargo, North Dakota 58108-6050.
NIKOLAY
BOGOLYUBOV(means, one who loves God-Almighty)
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For the actor, see Nikolay
Bogolyubov (actor).
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Nikolay Nikolaevich
Bogolyubov |
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Born |
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Died |
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Nationality |
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Fields |
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Institutions |
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Doctoral
students |
Dmitry Zubarev., Yurii Mitropolskiy,
Sergei Tyablikov,
Dmitry Shirkov |
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Known for |
significant contribution to nonlinear mechanics, quantum field theory,
statistical
mechanics, superconductivity,
superfluidity; |
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Notable
awards |
Stalin
Prize (1947, 1953) |
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Notes: a
close friend of Pakistani nuclear physicist dr. Abdullah Sadiq |
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Nikolay
Nikolaevich Bogolyubov (another spelling Bogoliubov, Russian:
Николай Николаевич Боголюбов, Ukrainian: Микола
Миколайович
Боголюбов; 21 August 1909, Nizhny Novgorod – 13
February 1992, Moscow) was a Russian and Ukrainian Soviet mathematician and theoretical physicist known for a significant contribution
to quantum field
theory, classical and quantum statistical mechanics,
and to the theory of dynamical systems; a recipient of the Dirac Prize (1992).
Contents
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BIOGRAPHY:
Early life (1909–1921)
Nikolay Bogolyubov was born on 21 August 1909 in Nizhny Novgorod, Russia, in the family of a
priest of Russian
Orthodox Church, teacher of theology,
psychology and philosophy Nikolay
Mikhailovich Bogolyubov and Ol'ga Nikolaevna, teacher of music. The Soviet Union regulations
issued soon after the October
Revolution in 1917 did not allow for children of priests to obtain a good
education, and in 1921 the family of Nikolay Bogolyubov moved to Kiev, where these regulations did
not work.
Kiev (1921–?)
In Kiev Nikolay Bogolyubov began to actively study
physics and mathematics. He attended research seminars in Kiev
University and soon started to work under the supervision of a famous mathematician
Nikolay Krylov. In 1924, at the age of
13, Nikolay Bogolyubov wrote his first published scientific paper On the
behavior of solutions of linear differential equations at infinity. In 1925
he entered Ph.D. program at the Academy of Sciences of Ukrainian
SSR and obtained the degree of Kandidat
Nauk (Candidat of Sciences, equivalent to Ph.D.) in 1928, at the age
of 19, with the Ph.D. thesis On direct methods of variational calculus.
In 1930, at the age of 21, he obtained the degree of Doktor nauk (Doctor of
Sciences, equivalent to Habilitation),
the highest degree in the Soviet Union, which requires to make a significant
independent contribution to the science after Ph.D.
This early period
of Bogolyubov's work in science was concerned with such mathematical problems
as direct methods of the calculus of variations, the theory of almost periodic
functions, methods of approximate solution of differential equations, and
dynamical systems. This earlier research had already earned him wide
recognition. One of his essays was awarded the Bologna Academy of Sciences
Prize in 1930, and the author was awarded the erudite degree of doctor of
mathematics '. This was the period when the great scientific rise of the
young Nikolai Bogolyubov began, later producing new multiple scientific trends
in modern mathematics, physics, and mechanics.
Since 1931,
Krylov and Bogolyubov worked together on the problems of nonlinear mechanics
and nonlinear oscillations. They were the key figures in the "Kiev school
of nonlinear oscillation research", where their cooperation resulted in
the paper "On the quasiperiodic solutions of the equations of nonlinear
mechanics" (1934) and the book Introduction to Nonlinear Mechanics
(1937; translated to English in 1947) leading to a creation of a large field of
non-linear mechanics.
And this can
explain, as the authors believe, the need to shape the collection of problems
of non-linear perturbation theory into a special science, which could be named
NON-LINEAR MECHANICS. – N.
M. Krylov and N. N. Bogolyubov, New methods in non-linear
mechanics, ONTI GTTI, Moscow-Leningrad, 1934
Distinctive
features of the Kiev School approach included an emphasis on the computation of
solutions (not just a proof of its existence), approximations of periodic
solutions, use of the invariant manifolds in the phase space, and applications
of a single unified approach to many different problems. From a control engineering
point of view, the key achievement of the Kiev School was the development by
Krylov and Bogolyubov of the describing function
method for the analysis of nonlinear control problems.
In the period
1928—1973, Nikolay Bogolyubov worked in the Institute for Theoretical
Physics of the National Academy of Sciences of Ukraine holding the position
of the Director of the institute since 1965. He lectured in the Kiev University
in the period 1936—1959.
In evacuation (1941–1943)
After the German attack against the Soviet Union on 22 June
1941 (beginning of the Great Patriotic War), most institutes
and universities from west part of Russia were evacuated into east regions far
from the battle lines. Nikolay Bogolyubov moved to Ufa, where he became Head of the
Departments of Mathematical Analysis at Ufa
State Aviation Technical University and at Ufa Pedagogical Institute, remaining on these positions
during the period of July 1941 – August 1943.
Moscow (1943–?)
In autumn 1943,
Bogolyubov came from evacuation to Moscow and on 1 November 1943 he accepted a
position in the Department of Theoretical Physics at the Moscow State University
(MSU). At that time the Head of the Department was Anatoly Vlasov (for a
short period in 1944 the Head of the Department was Vladimir Fock).
Theoretical physicists working in the department in that period included Dmitry
Ivanenko, Arsenij Sokolov, and other famous physicists.
In the period
1943–1946, Bogolyubov's resesarch was essentially concerned with the theory of stochastic processes and asymptotic methods. In
his work "?" a simple example of an anharmonic oscillator evolving under the
force of the form as a superposition of incoherent sinusoidal oscillations with
continuous spectrum was used to show that depending on a specific approximation
time scale the evolution of the system can be either deterministic, or a
stochastic process satisfying Fokker-Planck equation, or even a process
which is neither deterministic nor stochastic. In other words, he showed that
depending on the choice of the time scale for the corresponding approximations
the same stochastic process can be regarded as both dynamical and Markovian,
and in the general case as a non-Markov process. This work was the first to
introduce the notion of time hierarchy in non-equilibrium statistical physics
which then became the key concept in all further development of the statistical
theory of irreversible processes.
In 1945,
Bogolyubov proved a fundamental theorem on the existence and basic properties
of a one-parameter integral manifold for a system of non-linear differential
equations. He investigated periodic and quasi-periodic solutions lying on a
one-dimensional manifold, thus forming the foundation for a new method of
non-linear mechanics, the method of integral manifolds.
In 1946, he
published in JETP
two works on equilibrium and non-equilibrium statistical mechanics which became
the essence of his fundamental monograph Problems of dynamical theory in
statistical physics (Moscow, 1946).
On 26 January
1953, Nikolay Bogolyubov became the Head of the Department of Theoretical
Physics at MSU, after Anatoly Vlasov decided to leave the position on January
2, 1953.
Steklov Institute (1947–?)
In 1947, Nikolay Bogolyubov
organized and became the Head of the Department of Theoretical Physics at the Steklov Mathematical Institute. In
1969, the Department of Theoretical Physics was separated into the Departments
of Mathematical Physics (Head Vasily
Vladimirov), of Statistical Mechanics, and of Quantum Field Theory (Head Mikhail
Polivanov). While working in the Steklov Institute, Nikolay
Bogolyubov and his school contributed to science with many important works
including works on renormalization theory, renormalization group,
axiomatic S-matrix theory,
and works on the theory of dispersion relations.
In the late 1940s
and 1950s, Bogoliubov worked on the theory of superfluidity
and superconductivity,
where he developed the method of BBGKY hierarchy for a
derivation of kinetic equations, formulated microscopic theory of
superfluidity, and made other essential contributions. Later he worked on quantum field theory,
where introduced the Bogoliubov
transformation, formulated and proved the Bogoliubov's edge-of-the-wedge theorem
and Bogoliubov-Parasyuk theorem (with Ostap
Parasyuk), and obtained other significant results. In the 1960s his
attention turned to the quark
model of hadrons;
in 1965 he was among the first scientists to study the new quantum number color charge.
In 1946, Nikolay
Bogoliubow was elected as a Corresponding Member of the USSR Academy
of Sciences. In 1948, he became Academician
of the National Academy of Sciences of Ukraine and in 1953 Academician of the
USSR Academy of Sciences.
Dubna (1956–1992)
Since 1956, he worked in the Joint
Institute for Nuclear Research (JINR), Dubna, Russia, where he was a
founder (together with Dmitry
Blokhintsev) and the first director of the Laboratory of Theoretical Physics. This
laboratory, where Nikolay Bogolyubov worked for a long time, has traditionally
been the home of the prominent Russian schools in quantum field theory,
theoretical nuclear
physics, statistical
physics, and nonlinear mechanics. Nikolay Bogolyubov was Director of the
JINR in the period 1966—1988.
Family
His son Nikolay
Boglyubov (jr) is a theoretical physicist working in the fields of
mathematical physics and statistical mechanics.
Students
Nikolay
Bogoliubov was a scientific supervisor[1]
of Yurii Mitropolskiy,
Dmitry Shirkov, Selim
Krein, Iosif Gihman, Tofik Mamedov, Kirill Gurov, Mikhail
Polivanov, Naftul Polsky, Galina Biryuk, Sergei Tyablikov, Dmitry Zubarev, Vladimir
Kadyshevsky, and many other students. His method of teaching, based
on creation of a warmth atmosphere, politeness and kindness, is famous in
Russia and is known as the "Bogoliubov approach".
Awards
Nikolay
Bogolyubov was a recipient of various highest USSR honors and international
awards, including
- Stalin
Prize (1947, 1953)
- USSR State Prize
(1984)
- Lenin Prize (1958)
- Heineman Prize for
Mathematical Physics (1966)
- Hero of Socialist Labor (1969, 1979)
- Max Planck medal (1973)
- Franklin Medal (1974)
- The Lomonosov Gold Medal (1985)
- Dirac Prize (1992)
Joint Institute
for Nuclear Research awards two prizes in memory of Nikolay Bogolyubov: The Bogolyubov Prize for
scientists with outstanding contribution to theoretical physics and applied
mathematics and the Bogolyubov
Prize for young scientists. National
Academy of Sciences of Ukraine awards the Bogolyubov Prize for scientists with
outstanding contribution to theoretical physics and applied mathematics.
The central
street of Dubna is named in
the memory of Nikolay Bogolyubov as Bogolyubov prospect (Russian:
проспект Боголюбова).
Bogolyubov
year
In 2009, the
100th anniversary of the birth of Nikolay Bogolyubov was celebrated with two
conferences organized in the memory of Nikolay Bogolyubov in Russia and
Ukraine:
1.
International
Bogolyubov Conference: Problems of Theoretical and Mathematical Physics
21–27 August, Moscow-Dubna, Russia.
2.
Bogolyubov
Kyiv Conference: Modern Problems of Theoretical and Mathematical Physics
15–18 September, Kiev, Ukraine.
Research
Fundamental works
of Nikolay Bogoliubov were devoted to asymptotic methods of nonlinear
mechanics, quantum field theory, statistical field theory, variational
calculus, approximation methods in mathematical analysis, equations of
mathematical physics, theory of stability, theory of dynamical systems, and to
many other areas.
He built a new
theory of scattering matrices, formulated the concept of microscopical causality, obtained
important results in quantum electrodynamics, and investigated on the basis of
the edge-of-the-wedge
theorem the dispersion relations in elementary particle physics. He
suggested a new synthesis of the Bohr theory of quasiperiodic functions and
developed methods for asymptotic integration of nonlinear differential
equations which describe oscillating processes.
Mathematics and non-linear mechanics
- In 1932—1943, in the early
stage of his career, he worked in collaboration with Nikolay Krylov on mathematical
problems of nonlinear mechanics and developed mathematical methods for
asymptotic integration of non-linear differential equations. He also
applied these methods to problems of statistical mechanics.
- In 1937, jointly with Nikolay
Krylov he proved the Krylov-Bogoliubov theorems.[2]
- In 1956, at the International
Conference on Theoretical Physics in Seattle, USA (September, 1956), he
presented the formulation and the first proof of the edge-of-the-wedge theorem.
This theorem in the theory of functions of several complex variables has
important implications to the dispersion relations in elementary particle
physics.
Statistical mechanics
- 1939 Jointly with Nikolay Krylov gave the first
consistent microscopic derivation of the Fokker-Planck equation in the single
scheme of classical and quantum mechanics.[3]
- 1945 Suggested the idea of
hierarchy of relaxation times, which is significant for
statistical theory of irreversible processes.
- 1946 Developed a general
method for a microscopic derivation of kinetic equations for classical
systems.[4][5]
The method was based on the hierarhy of equations for multi-particle
distribution functions known now as Bogoliubov-Born-Green-Kirkwood-Yvon
hierarchy.
- 1947 Jointly with K.
P. Gurov extended this method to the derivation of kinetic equations
for quantum systems on the basis of the quantum BBGKY hierarchy.[6]
- 1947—1948 Introduced kinetic
equations in the theory of superfluidity,[7][8]
computed the excitation spectrum for a weakly imperfect Bose gas, showed that
this spectrum has the same properties as spectrum of Helium
II, and used this analogy for a theoretical description of
superfluidity of Helium II.
- 1958 Formulated a microscopic
theory of superconductivity[9]
and established an analogy between superconductivity and superfluidity
phenomena; this contribution was discussed in details in the book A New
Method in the Theory of Superconductivity (co-authors
V. V. Tolmachev and D. V. Shirkov,
Moscow, Academy of Sciences Press, 1958).
Quantum theory
- 1955 Developed an axiomatic
theory for scattering matrix (S—matrix) in
quantum field theory and introduced the causality condition for S—matrix
in terms of variational derivatives.
- 1955 Jointly with Dmitry Shirkov
developed the renormalization
group method.
- 1955 Jointly with Ostap
Parasyuk proved the theorem on the finiteness and uniqueness
(for renormalizable theories) of the scattering matrix in any order of
perturbation theory (Bogoliubov-Parasyuk theorem) and
developed a procedure (R-operation)
for a practical subtraction of singularities in quantum field theory.[10][11]
- 1965 Jointly with Boris
Struminsky and Albert
Tavchelidze and independently of Moo-Young Han, Yoichiro Nambu and Oscar W. Greenberg
suggested a triplet quark
model and introduced a new quantum degree of freedom (later called as color charge) for
quarks.[12]
- Suggested a first proof of
dispersion relations in quantum field theory.
See also
- Bogolyubov-Born-Green-Kirkwood-Yvon
hierarchy
- Bogoliubov
causality condition
- Bogolyubov's
edge-of-the-wedge theorem
- Bogoliubov
inner product
- Bogoliubov-Parasyuk theorem
- Bogoliubov
transformation
- Describing function method
- Krylov-Bogoliubov
averaging method
- Krylov-Bogolyubov theorem
Publications: Main article: List
of works of Nikolay Bogolyubov
Books
Mathematics and Non-linear Mechanics:
1.
N. M. Krylov and N. N. Bogoliubov
(1934): On various formal expansions of non-linear mechanics. Kiev,
Izdat. Zagal'noukr. Akad. Nauk. (Ukrainian)
2.
N. M. Krylov and N. N. Bogoliubov
(1947): Introduction to Nonlinear Mechanics. Princeton, Princeton
University Press.
3.
N. N. Bogoliubov, Y. A. Mitropolsky (1961): Asymptotic Methods
in the Theory of Non-Linear Oscillations. New York, Gordon and Breach.
Statistical Mechanics:
1.
N. N. Bogoliubov (1945): On Some Statistical
Methods in Mathematical Physics. Kyiv (Russian).
2.
N. N. Bogoliubov, V. V. Tolmachev, D. V.
Shirkov (1959): A New Method in the Theory of Superconductivity. New
York, Consultants Bureau.
3.
N. N. Bogoliubov (1960): Problems of Dynamic
Theory in Statistical Physics. Oak Ridge, Tenn., Technical Information
Service.
4.
N. N. Bogoliubov (1967—1970): Lectures on
Quantum Statistics. Problems of Statistical Mechanics of Quantum Systems.
New York, Gordon and Breach.
5.
N. N. Bogolubov and N. N. Bogolubov, Jnr. (1992): Introduction
to Quantum Statistical Mechanics. Gordon and Breach. ISBN
2-88124-879-9.
Quantum Field Theory:
1.
N. N. Bogoliubov, B. V. Medvedev, M. K. Polivanov
(1958): Problems in the Theory of Dispersion Relations. Institute for
Advanced Study, Princeton.
2.
N. N. Bogoliubov, D. V.
Shirkov (1959): The Theory of Quantized Fields. New York,
Interscience. The first text-book on the renormalization group
theory.
3.
N. N. Bogoliubov, A. A. Logunov and I. T. Todorov
(1975): Introduction to Axiomatic Quantum Field Theory. Reading, Mass.:
W. A. Benjamin, Advanced Book Program. ISBN
978-0-8053-0982-9. ISBN
0-8053-0982-9.
4.
N. N. Bogoliubov, D. V.
Shirkov (1980): Introduction to the Theory of Quantized Field. John
Wiley & Sons Inc; 3rd edition. ISBN
0-471-04223-4. ISBN
978-0-471-04223-5.
5.
N. N. Bogoliubov, D. V.
Shirkov (1982): Quantum Fields. Benjamin-Cummings Pub. Co., ISBN
0-8053-0983-7.
6.
N. N. Bogoliubov, A. A. Logunov, A. I. Oksak, I. T.
Todorov (1990): General Principles of Quantum Field Theory. Dordrecht
[Holland]; Boston, Kluwer Academic Publishers. ISBN
0-7923-0540-X. ISBN
978-0-7923-0540-8.
Selected works
1.
N. N. Bogoliubov, Selected Works. Part I.
Dynamical Theory. Gordon and Breach, New York, 1990. ISBN
2-88124-752-0, ISBN
978-2-88124-752-1.
2.
N. N. Bogoliubov, Selected Works. Part II.
Quantum and Classical Statistical Mechanics. Gordon and Breach, New York,
1991. ISBN
2-88124-768-7.
3.
N. N. Bogoliubov, Selected Works. Part III.
Nonlinear Mechanics and Pure Mathematics. Gordon and Breach, Amsterdam,
1995. ISBN
2-88124-918-3.
4.
N. N. Bogoliubov, Selected Works. Part IV.
Quantum Field Theory. Gordon and Breach, Amsterdam, 1995. ISBN
2-88124-926-4, ISBN
978-2-88124-926-6.
Selected papers
- N. N. Bogoliubov (1948).
"Equations of Hydrodynamics in Statistical Mechanics" (in
Ukrainian). Sbornik Trudov Instituta Matematiki AN USSR 10:
41—59.
- "On Question about
Superfluidity Condition in the Nuclear Matter Theory" (in Russian),
Doklady Akademii Nauk USSR, 119, 52, 1958.
- "On One Variational
Principle in Many Body Problem" (in Russian), Doklady Akademii Nauk
USSR, 119, N2, 244, 1959.
- "On Compensation
Principle in the Method of Selfconformed Field" (in Russian), Uspekhi
Fizicheskhih Nauk, 67, N4, 549, 1959.
- "The Quasi-averages in
Problems of Statistical Mechanics" (in Russian), Preprint D-781,
JINR, Dubna, 1961.
- "On the Hydrodynamics of
a Superfluiding" (in Russian), Preprint P-1395, JINR, Dubna, 1963.
References
1.
^ Nikolay Bogolyubov at
the Mathematics
Genealogy Project
2.
^ N. N. Bogoliubov and N. M. Krylov (1937). "La
theorie generalie de la mesure dans son application a l'etude de systemes
dynamiques de la mecanique non-lineaire" (in French). Ann. Math. II
38 (1): 65–113. doi:10.2307/1968511. JSTOR 1968511. Zbl.
16.86.
3.
^ N. N. Bogoliubov and N. M. Krylov (1939). Fokker-Planck
equations generated in perturbation theory by a method based on the spectral
properties of a perturbed Hamiltonian. Zapiski Kafedry Fiziki Akademii Nauk
Ukrainian SSR 4: 81–157 (in Ukrainian).
4.
^ N. N. Bogoliubov (1946). "Kinetic Equations"
(in Russian). Journal
of Experimental and Theoretical Physics 16 (8): 691–702.
5.
^ N. N. Bogoliubov (1946). "Kinetic Equations". Journal
of Physics 10 (3): 265–274.
6.
^ N. N. Bogoliubov, K. P. Gurov (1947). "Kinetic
Equations in Quantum Mechanics" (in Russian). Journal of Experimental and
Theoretical Physics 17 (7): 614–628.
7.
^ N. N. Bogoliubov (1947). "On the Theory of
Superfluidity" (in Russian). Izv. Academii Nauk USSR 11 (1):
77.
8.
^ N. N. Bogoliubov (1947). "On the Theory of
Superfluidity". Journal of Physics 11 (1): 23–32.
9.
^ N. N. Bogoliubov (1958). "On a New Method in the
Theory of Superconductivity". Journal of Experimental and
Theoretical Physics 34 (1): 58.
10.
^ N. N. Bogoliubov, O. S. Parasyuk (1955). "[A theory
of multiplication of causal singular functions]" (in Russian). Doklady Akademii Nauk SSSR 100:
25–28.
11.
^ N. N. Bogoliubov, O. S. Parasyuk (1957). "Uber die
Multiplikation der Kausalfunktionen in der Quantentheorie der Felder"
(in German). Acta Mathematica 97: 227–266. doi:10.1007/BF02392399. http://www.springerlink.com/content/11135u3k000m7683/.
12.
^ N. Bogolubov, B.
Struminsky, A. Tavkhelidze. On composite models in the theory of elementary
particles. JINR
Preprint D-1968, Dubna 1965.
Further reading
- Yu. A. Mitropolskiy and S. V. Tyablikov (1959). "Nikolai
Nikolaevich Bogolyubov (on the occasion of his fiftieth birthday)".
Soviet Physics Uspekhi, 2(5): 765—770.
- D.
N. Zubarev et al. (1970). "Nikolai
Nikolaevich Bogolyubov (On his 60th birthday)", Soviet Physics
Uspekhi, 12(4): 590—593.
- V. S. Vladimirov et al. (1969).
"Nikolai
Nikolaevich Bogolyubov (on the occasion of his sixtieth birthday)",
Russian Math. Surveys, 24(4): 167—175.
- V. A. Ambartsumyan et al.
(1979). "Nikolai
Nikolaevich Bogolyubov (on his seventieth birthday)", Soviet
Physics Uspekhi, 22(8): 672—676.
- P. S. Aleksandrov et al. (1979).
"Nikolai
Nikolaevich Bogolyubov (on his seventieth birthday)", Russian
Math. Surveys, 34(5): 1—10.
- A. A. Logunov, S. P. Novikov, V. S. Vladimirov
(1989). "Nikolai
Nikolaevich Bogolyubov (on his 80th birthday)", Russian Math.
Surveys, 44(5): 1—10.
- A. A. Abrikosov et al.
(1989). "Nikolai
Nikolaevich Bogolyubov (on his eightieth birthday)", Soviet
Physics Uspekhi, 32(12): 1111—1112.
- L.
D. Faddeev et al. (1992). "Nikolai
Nikolaevich Bogolyubov (obituary)". Russian Math. Surveys 47(3):
1—3 (in English).
- D.
V. Anosov (1994). "On the
contribution of N.N. Bogolyubov to the theory of dynamical systems",
Russian Math. Surveys, 49(5): 1—18.
- N. N. Bogolyubov (jr) and D. P. Sankovich
(1994). "N.
N. Bogolyubov and statistical mechanics". Russian Math.
Surveys 49(5): 19—49.
- V. S. Vladimirov, V. V.
Zharinov, A. G. Sergeev (1994). "Bogolyubov's
“edge of the wedge” theorem, its development and applications", Russian
Math. Surveys, 49(5): 51—65.
- O. I. Zav'yalov (1994).
"Bogolyubov's
R-operation and the Bogolyubov-Parasyuk theorem", Russian
Math. Surveys, 49(5): 67—76.
- B. M. Levitan (1994). "On the work of
Nikolai Nikolaevich Bogolyubov in the theory of almost periodic functions",
Russian Math. Surveys, 49(5): 77—88.
- B. V. Medvedev (1994). "N.N. Bogolyubov
and the scattering matrix", Russian Math. Surveys, 49(5):
89—108.
- A. M. Samoilenko (1994).
"N.N. Bogolyubov
and non-linear mechanics", Russian Math. Surveys, 49(5):
109—154.
- D.
V. Shirkov (1994). "The
Bogoliubov renormalization group". Russian Math. Surveys 49(5):
155—176.
- V. S. Vladimirov (2001). "N. N. Bogoliubov
and mathematics". Russian Math. Surveys 56(3):
607—613.
External links
- Bogolyubov Institute for
Theoretical Physics of the National Academy of Sciences of Ukraine.
- Bogolyubov
Institute for Theoretical Problems of Microphysics at the Lomonosov Moscow State University,
Russia.
- Bogolyubov Laboratory of Theoretical Physics
at the Joint
Institute for Nuclear Research, Dubna, Russia.