Avakov, Evgeny Rachievich

Statistics Math-Net.Ru
Total publications: 24
Scientific articles: 23
Presentations: 8

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Doctor of physico-mathematical sciences (1991)
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Publications in Math-Net.Ru
1. E. R. Avakov, G. G. Magaril-Il'yaev, “Controllability and second-order necessary conditions for optimality”, Mat. Sb., 210:1 (2019),  3–26  mathnet  elib; Sb. Math., 210:1 (2019), 1–23  isi
2. 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  elib; Math. Notes, 103:4 (2018), 507–512  isi  scopus
3. 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
4. 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
5. E. R. Avakov, “Stability theorem and extremum conditions for abnormal problems”, Tr. Mat. Inst. Steklova, 291 (2015),  10–29  mathnet  elib; Proc. Steklov Inst. Math., 291 (2015), 4–23  isi  scopus
6. 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
7. 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
8. 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
9. 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
10. 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
11. E. R. Avakov, A. V. Arutyunov, A. F. Izmailov, “Necessary Conditions for an Extremum in a Mathematical Programming Problem”, Tr. Mat. Inst. Steklova, 256 (2007),  6–30  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 256 (2007), 2–25  elib  scopus
12. 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
13. 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
14. 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
15. 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
16. 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
17. 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
18. 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
19. 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
20. 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
21. 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
22. 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

23. 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. 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   
2. Локальный инфимум в задачах оптимального управления
E. R. Avakov, G. G. Magaril-Il'yaev
Geometric theory of optimal control
November 14, 2018 18:30
3. 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
4. Принцип максимума для инфимума
E. R. Avakov, G. G. Magaril-Il'yaev
Geometric theory of optimal control
April 18, 2018 18:30
5. Теорема об обратной функции и локальная управляемость в точке равновесия управляемой системы
E. R. Avakov
Seminar of the Department of Differential Equations, Steklov Mathematical Institute of RAS
November 17, 2017 13:00   
6. 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
7. 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
8. 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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