Avakov, Evgeny Rachievich

Statistics Math-Net.Ru
Total publications: 31
Scientific articles: 30
Presentations: 12

Number of views:
This page:3084
Abstract pages:9947
Full texts:2482
Head Scientist Researcher
Doctor of physico-mathematical sciences (1991)
Speciality: 01.01.09 (Discrete mathematics and mathematical cybernetics)
List of publications on Google Scholar
List of publications on ZentralBlatt

Publications in Math-Net.Ru
1. E. R. Avakov, G. G. Magaril-Il'yaev, “Implicit Function. Controllability and Perturbation of Optimal Control Problems”, Mat. Zametki, 109:4 (2021),  483–499  mathnet; Math. Notes, 109:4 (2021), 503–516  isi
2. E. R. Avakov, G. G. Magaril-Il'yaev, “Local controllability and optimality”, Mat. Sb., 212:7 (2021),  3–38  mathnet; Sb. Math., 212:7 (2021), 887–920  isi  scopus
3. E. R. Avakov, G. G. Magaril-Il'yaev, “Gamkrelidze Convexification and Bogolyubov's Theorem”, Mat. Zametki, 107:4 (2020),  483–497  mathnet  elib; Math. Notes, 107:4 (2020), 539–551  isi  scopus
4. E. R. Avakov, G. G. Magaril-Il'yaev, “Local infimum and a family of maximum principles in optimal control”, Mat. Sb., 211:6 (2020),  3–39  mathnet  mathscinet  elib; Sb. Math., 211:6 (2020), 750–785  isi  scopus
5. E. R. Avakov, G. G. Magaril-Il'yaev, “Controllability and second-order necessary conditions for optimality”, Mat. Sb., 210:1 (2019),  3–26  mathnet  mathscinet  elib; Sb. Math., 210:1 (2019), 1–23  isi  scopus
6. E. R. Avakov, G. G. Magaril-Il'yaev, “Generalized Needles and Second-Order Conditions in Optimal Control”, Trudy Mat. Inst. Steklova, 304 (2019),  15–31  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 304 (2019), 8–25  isi  scopus
7. E. R. Avakov, G. G. Magaril-Il'yaev, “An Implicit Function Theorem for Inclusions Defined by Close Mappings”, Mat. Zametki, 103:4 (2018),  483–489  mathnet  mathscinet  elib; Math. Notes, 103:4 (2018), 507–512  isi  scopus
8. E. R. Avakov, G. G. Magaril-Il'yaev, “Relaxation and controllability in optimal control problems”, Mat. Sb., 208:5 (2017),  3–37  mathnet  mathscinet  elib; Sb. Math., 208:5 (2017), 585–619  isi  scopus
9. E. R. Avakov, V. G. Oleinikov, “Irregular trajectories in vakonomic mechanical systems”, Zh. Vychisl. Mat. Mat. Fiz., 56:10 (2016),  1702–1710  mathnet  elib; Comput. Math. Math. Phys., 56:10 (2016), 1686–1694  isi  scopus
10. E. R. Avakov, “Stability theorem and extremum conditions for abnormal problems”, Trudy Mat. Inst. Steklova, 291 (2015),  10–29  mathnet  elib; Proc. Steklov Inst. Math., 291 (2015), 4–23  isi  scopus
11. E. R. Avakov, G. G. Magaril-Il'yaev, “Mix of controls and the Pontryagin maximum principle”, Fundam. Prikl. Mat., 19:4 (2014),  5–20  mathnet  mathscinet; J. Math. Sci., 217:6 (2016), 672–682
12. E. R. Avakov, A. V. Arutyunov, D. Yu. Karamzin, “An investigation of smooth maps in a neighbourhood of an abnormal point”, Izv. RAN. Ser. Mat., 78:2 (2014),  3–42  mathnet  mathscinet  zmath  elib; Izv. Math., 78:2 (2014), 213–250  isi  scopus
13. E. R. Avakov, G. G. Magaril-Il'yaev, V. M. Tikhomirov, “Lagrange's principle in extremum problems with constraints”, Uspekhi Mat. Nauk, 68:3(411) (2013),  5–38  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 68:3 (2013), 401–433  isi  elib  scopus
14. E. R. Avakov, G. G. Magaril-Il'yaev, “An Implicit-Function Theorem for Inclusions”, Mat. Zametki, 91:6 (2012),  813–818  mathnet  mathscinet  elib; Math. Notes, 91:6 (2012), 764–769  isi  elib  scopus
15. E. R. Avakov, A. V. Arutyunov, A. F. Izmailov, “Exact penalties for optimization problems with 2-regular equality constraints”, Zh. Vychisl. Mat. Mat. Fiz., 48:3 (2008),  365–372  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 48:3 (2008), 346–353  isi  scopus
16. E. R. Avakov, A. V. Arutyunov, A. F. Izmailov, “Necessary Conditions for an Extremum in a Mathematical Programming Problem”, Trudy Mat. Inst. Steklova, 256 (2007),  6–30  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 256 (2007), 2–25  elib  scopus
17. E. R. Avakov, A. V. Arutyunov, “Inverse function theorem and conditions of extremum for abnormal problems with non-closed range”, Mat. Sb., 196:9 (2005),  3–22  mathnet  mathscinet  zmath  elib; Sb. Math., 196:9 (2005), 1251–1269  isi  elib  scopus
18. E. R. Avakov, A. V. Arutyunov, A. F. Izmailov, “On convergence rate estimates for power penalty methods”, Zh. Vychisl. Mat. Mat. Fiz., 44:10 (2004),  1770–1781  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 44:10 (2004), 1684–1695
19. E. R. Avakov, “First-order necessary conditions for abnormal problems in the calculus of variations”, Differ. Uravn., 27:5 (1991),  739–745  mathnet  mathscinet; Differ. Equ., 27:5 (1991), 495–500
20. E. R. Avakov, A. A. Agrachev, A. V. Arutyunov, “The level set of a smooth mapping in a neighborhood of a singular point, and zeros of a quadratic mapping”, Mat. Sb., 182:8 (1991),  1091–1104  mathnet  mathscinet  zmath; Math. USSR-Sb., 73:2 (1992), 455–466  isi
21. E. R. Avakov, “Theorems on estimates in the neighborhood of a singular point of a mapping”, Mat. Zametki, 47:5 (1990),  3–13  mathnet  mathscinet  zmath; Math. Notes, 47:5 (1990), 425–432  isi
22. E. R. Avakov, “Necessary extremum conditions for smooth anormal problems with equality- and inequality-type constraints”, Mat. Zametki, 45:6 (1989),  3–11  mathnet  mathscinet  zmath; Math. Notes, 45:6 (1989), 431–437  isi
23. E. R. Avakov, “The maximum principle for abnormal optimal control problems”, Dokl. Akad. Nauk SSSR, 298:6 (1988),  1289–1292  mathnet  mathscinet  zmath; Dokl. Math., 37:1 (1988), 231–234
24. E. R. Avakov, “Necessary conditions for a minimum for nonregular problems in Banach spaces. The maximum principle for abnormal optimal control problems”, Trudy Mat. Inst. Steklov., 185 (1988),  3–29  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 185 (1990), 1–32
25. E. R. Avakov, “Conditions for an extremum for smooth problems with constraints of equality type”, Zh. Vychisl. Mat. Mat. Fiz., 25:5 (1985),  680–693  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 25:3 (1985), 24–32
26. E. R. Avakov, “Regularization conditions for an approximating family of maximin problems with respect to associated sets”, Dokl. Akad. Nauk SSSR, 263:2 (1982),  265–269  mathnet  mathscinet  zmath
27. E. R. Avakov, “On conditions for approximation of a lexicographical problem”, Zh. Vychisl. Mat. Mat. Fiz., 20:4 (1980),  889–900  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 20:4 (1980), 78–90
28. E. R. Avakov, “Approximation conditions for max-min problems with connected sets”, Zh. Vychisl. Mat. Mat. Fiz., 18:3 (1978),  603–613  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 18:3 (1978), 75–85

29. E. R. Avakov, A. V. Arutyunov, L. A. Beklaryan, È. M. Galeev, M. L. Gol'dman, V. B. Demidovich, A. G. Kusraev, G. G. Magaril-Il'yaev, V. M. Tikhomirov, “Osipenko Konstantin Yur'evich (on his 60th birthday)”, Vladikavkaz. Mat. Zh., 12:1 (2010),  68–70  mathnet

Presentations in Math-Net.Ru
1. Теоремы о неявной функции для близких отображений
Implicit function theorems for close mappings

E. R. Avakov, G. G. Magaril-Il'yaev
Functional Analysis and applications
April 27, 2021 12:00
2. Локальная управляемость с нефиксированным временем и локальный инфимум в задаче быстродействия
E. R. Avakov, G. G. Magaril-Il'yaev
Geometric Theory of Optimal Control
December 9, 2020 16:45
3. Овыпукление по Гамкрелидзе и теорема Боголюбова
E. R. Avakov, G. G. Magaril-Il'yaev
Geometric Theory of Optimal Control
December 4, 2019 16:45
4. Локальный инфимум и семейство принципов максимума в оптимальном управлении
G. G. Magaril-Il'yaev, E. R. Avakov
Hamiltonian systems and statistical mechanics
November 18, 2019
5. Maximum principle for infimum in optimal control problems
E. R. Avakov, G. G. Magaril-Il'yaev
International Conference "Optimal Control and Differential Games" dedicated to the 110th anniversary of L. S. Pontryagin
December 14, 2018 13:15   
6. Локальный инфимум в задачах оптимального управления
E. R. Avakov, G. G. Magaril-Il'yaev
Geometric Theory of Optimal Control
November 14, 2018 18:30
7. Принцип максимума для инфимума в задачах оптимального управления
E. R. Avakov, G. G. Magaril-Il'yaev
Differential equations, analysis and control: theory and applications
October 15, 2018 18:30
8. Принцип максимума для инфимума
E. R. Avakov, G. G. Magaril-Il'yaev
Geometric Theory of Optimal Control
April 18, 2018 18:30
9. Теорема об обратной функции и локальная управляемость в точке равновесия управляемой системы
E. R. Avakov
Seminar "Optimal Control and Dynamical Systems"
November 17, 2017 13:00   
10. Local controllability and optimality
E. R. Avakov, G. G. Magaril-Il'yaev
International Conference "Mathematical Theory of Optimal Control" dedicated to the 90th birthday of Academician R. V. Gamkrelidze
June 2, 2017 16:05
11. Равномерные оценки расстояний до множества точек совпадения
A. V. Arutyunov, S. E. Zhukovskii, E. R. Avakov
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
December 2, 2015 16:00
12. Development of the Lagrange formalism for abnormal problems
E. R. Avakov
Conference "Optimal Control and Applications" dedicated to the 105th anniversary of Lev Semenovich Pontryagin
September 25, 2013 16:10   

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