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Averboukh, Yurii Vladimirovich
Statistics Math-Net.Ru
Total publications: 15
Scientific articles: 15
Presentations: 24

Number of views:
This page:2921
Abstract pages:6723
Full texts:2123
References:896
Head Scientist Researcher
Doctor of Science (2021)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 1.06.1981
E-mail:
Keywords: differential games, Nash equilibrium, programmed iteration method, mean field games.
UDC: 517.977, 517.977.8, 517.978.2, 517.978.4
MSC: 49N70, 91A10, 49L25

Subject:

Mean field games, mean field type control theory control theory, theory of differential games.
   
Main publications:
  1. Averbukh Yu.V., “Infinitezimalnaya kharakterizatsiya pozitsionnogo ravnovesiya po Neshu v differentsialnoi igre”, Tr. IMM UrO RAN, 16:1 (2010), 3–14

https://www.mathnet.ru/eng/person35224
List of publications on Google Scholar
List of publications on ZentralBlatt
https://orcid.org/0000-0002-6541-8470
https://www.scopus.com/authid/detail.url?authorId=25624271000

Publications in Math-Net.Ru Citations
2022
1. Y. V. Averboukh, “A mean field type differential inclusion with upper semicontinuous right-hand side”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 32:4 (2022),  489–501  mathnet  mathscinet  isi
2021
2. Yu. V. Averboukh, “Approximation of value function of differential game with minimal cost”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 31:4 (2021),  536–561  mathnet  isi 1
2020
3. Yu. V. Averboukh, “Markov approximations of nonzero-sum differential games”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 30:1 (2020),  3–17  mathnet  isi
2018
4. Yu. Averboukh, “Stackelberg solution of first-order mean field game with a major player”, Izv. IMI UdGU, 52 (2018),  3–12  mathnet  isi  elib 4
2017
5. Y. V. Averboukh, “Randomized Nash equilibrium for differential games”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:3 (2017),  299–308  mathnet  isi  elib
2015
6. Yu. V. Averboukh, “A minimax approach to mean field games”, Mat. Sb., 206:7 (2015),  3–32  mathnet  mathscinet  zmath  elib; Sb. Math., 206:7 (2015), 893–920  isi  scopus 4
2014
7. Yu. V. Averboukh, “Universal Nash equilibria in $n$-person differential games”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:3 (2014),  26–40  mathnet  mathscinet  elib
2012
8. Yurii V. Averboukh, “Nash equilibrium for differential game and nonanticipative strategies technique”, Mat. Teor. Igr Pril., 4:3 (2012),  3–20  mathnet; Autom. Remote Control, 75:8 (2014), 1491–1502  isi 1
2011
9. Yu. V. Averboukh, “Program absorption operators in the theory of nonzero-sum differential games”, CMFD, 42 (2011),  5–14  mathnet  mathscinet; Journal of Mathematical Sciences, 199:6 (2014), 604–613  scopus
10. Yu. V. Averboukh, “Nash equilibrium in differential games and the construction of the programmed iteration method”, Mat. Sb., 202:5 (2011),  3–28  mathnet  mathscinet  zmath  elib; Sb. Math., 202:5 (2011), 621–647  isi  scopus 1
11. Yu. V. Averboukh, “Infinitesimal characterization of Nash equilibrium for differential games with many players”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 2,  3–11  mathnet 1
2010
12. Yu. V. Averboukh, “Infinitesimal characterization of feedback Nash equilibrium”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:1 (2010),  3–14  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 271, suppl. 1 (2010), S28–S40  isi  scopus 1
2009
13. Yu. V. Averboukh, “Differential games with a given value function”, Trudy Inst. Mat. i Mekh. UrO RAN, 15:1 (2009),  15–29  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 265, suppl. 1 (2009), S40–S55  isi
2008
14. Yu. V. Averboukh, “Geometric Properties of Successful Solvability Sets in Pursuit Game Problems”, Trudy Mat. Inst. Steklova, 262 (2008),  8–15  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 262 (2008), 2–9  isi  elib  scopus
15. Yu. V. Averboukh, “Transformation of differential guidance games with nonfixed moment of termination”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 2,  5–6  mathnet

Presentations in Math-Net.Ru
1. Middle-field games and variational inequalities
Y. V. Averboukh
Scientific seminar on the differential and functional differential equations
November 5, 2024 12:00   
2. Аппроксимация решений уравнения Беллмана для задач управления средним полем
Y. V. Averboukh

November 7, 2022 17:50
3. Игры среднего поля с конечным числом состояний. Подход на основе теории управления
Y. V. Averboukh

October 14, 2022 18:40   
4. Pontryagin's maximum principle for the mean optimal control problems
Y. V. Averboukh, D. V. Khlopin
Geometric Theory of Optimal Control
September 15, 2022 16:45   
5. Mean field type controlled systems
Yu. V. Averboukh
International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko
June 9, 2022 10:15   
6. Viability theory for the controlled systems in the space of probability measures
Y. V. Averboukh
Geometric Theory of Optimal Control
June 2, 2021 16:45   
7. Viability condition in the Wasserstein space
Y. V. Averboukh
Dobrushin Mathematics Laboratory Seminar
September 19, 2017 16:00
8. Дифференциальные игры. Некоторые постановки и результаты
Y. V. Averboukh
Mathematical Workshop of the School of Applied Mathematics and Computer Science (MIPT)
April 7, 2017 18:30   
9. Metric on the set of transition probability
Y. V. Averboukh
Seminar of Control System Department
January 19, 2017 12:00
10. Viability theorem for deterministic mean field type control systems
Y. V. Averboukh
Seminar of Control System Department
December 22, 2016 12:00
11. Properties of the value function for nonzero-sum differential game
Yu. V. Averboukh
Seminar of Control System Department
April 21, 2016 12:00
12. Value function for first order mean field games
Yu. V. Averboukh
Seminar of Control System Department
January 28, 2016 12:00
13. Continuous-time stochastic games
Yu. V. Averboukh
Principle Seminar of the Department of Probability Theory, Moscow State University
November 18, 2015 16:45
14. Deterministic limit of mean field games
Yu. V. Averboukh
Seminar of Control System Department
September 24, 2015 12:00
15. Approximate solutions of stochastic games associated with generators of Lévy-Khintchine type
Yu. V. Averboukh
International Conference on Mathematical Control Theory and Mechanics
July 3, 2015 15:00
16. Extremal shift for stochastic control problems
Yu. V. Averboukh
Seminar of Control System Department
April 9, 2015 12:00
17. Extremal shift for the control of Markov processes
Yu. V. Averboukh
Seminar of Control System Department
February 12, 2015 12:00
18. Extremal shift rule for continuous-time stochastic games
Yu. V. Averboukh
Seminar of Control System Department
December 4, 2014
19. Zero-sum Markov game
Yu. V. Averboukh
Seminar of Control System Department
November 13, 2014
20. Nash equilibria and systems of Hamilton-Jacobi PDEs
Yu. V. Averboukh
Seminars of the Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
October 2, 2014
21. Deterministic mean field games. Minimax approach
Yu. V. Averboukh
International Conference on Differential Equations and Dynamical Systems
July 8, 2014 16:50
22. Игры среднего поля и динамические системы, зависящие от меры
Yu. V. Averboukh
Principle Seminar of the Department of Probability Theory, Moscow State University
May 21, 2014 16:45
23. Control with guide strategies for Markov games
Yu. V. Averboukh
Seminar of Control System Department
May 15, 2014
24. Управление детерминированной системой большого числа лиц: подход "игр среднего поля"
Yu. V. Averboukh
Dobrushin Mathematics Laboratory Seminar
April 1, 2014 16:00

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