Avakov Evgeny Rachievich

Publications in Math-Net.Ru

1. Controllability of an approximately defined control system
   
   Mat. Sb., 215:4 (2024),  3–29
2. On the Continuous Dependence of a Solution of a Differential Equation on the Right-Hand Side and Boundary Conditions
   
   Mat. Zametki, 114:1 (2023),  3–17
3. Controllability and Second-Order Necessary Conditions for Local Infimum Trajectories in Optimal Control
   
   Trudy Mat. Inst. Steklova, 321 (2023),  7–30
4. Controllability of difference approximation for a control system with continuous time
   
   Mat. Sb., 213:12 (2022),  3–30
5. A Note on the Classical Implicit Function Theorem
   
   Mat. Zametki, 110:6 (2021),  911–915
6. Implicit Function. Controllability and Perturbation of Optimal Control Problems
   
   Mat. Zametki, 109:4 (2021),  483–499
7. Local controllability and optimality
   
   Mat. Sb., 212:7 (2021),  3–38
8. General Implicit Function Theorem for Close Mappings
   
   Trudy Mat. Inst. Steklova, 315 (2021),  7–18
9. Gamkrelidze Convexification and Bogolyubov's Theorem
   
   Mat. Zametki, 107:4 (2020),  483–497
10. Local infimum and a family of maximum principles in optimal control
    
    Mat. Sb., 211:6 (2020),  3–39
11. Controllability and second-order necessary conditions for optimality
    
    Mat. Sb., 210:1 (2019),  3–26
12. Generalized Needles and Second-Order Conditions in Optimal Control
    
    Trudy Mat. Inst. Steklova, 304 (2019),  15–31
13. An Implicit Function Theorem for Inclusions Defined by Close Mappings
    
    Mat. Zametki, 103:4 (2018),  483–489
14. Relaxation and controllability in optimal control problems
    
    Mat. Sb., 208:5 (2017),  3–37
15. Irregular trajectories in vakonomic mechanical systems
    
    Zh. Vychisl. Mat. Mat. Fiz., 56:10 (2016),  1702–1710
16. Stability theorem and extremum conditions for abnormal problems
    
    Trudy Mat. Inst. Steklova, 291 (2015),  10–29
17. Mix of controls and the Pontryagin maximum principle
    
    Fundam. Prikl. Mat., 19:4 (2014),  5–20
18. An investigation of smooth maps in a neighbourhood of an abnormal point
    
    Izv. RAN. Ser. Mat., 78:2 (2014),  3–42
19. Lagrange's principle in extremum problems with constraints
    
    Uspekhi Mat. Nauk, 68:3(411) (2013),  5–38
20. An Implicit-Function Theorem for Inclusions
    
    Mat. Zametki, 91:6 (2012),  813–818
21. Exact penalties for optimization problems with 2-regular equality constraints
    
    Zh. Vychisl. Mat. Mat. Fiz., 48:3 (2008),  365–372
22. Necessary Conditions for an Extremum in a Mathematical Programming Problem
    
    Trudy Mat. Inst. Steklova, 256 (2007),  6–30
23. Inverse function theorem and conditions of extremum for abnormal problems with non-closed range
    
    Mat. Sb., 196:9 (2005),  3–22
24. On convergence rate estimates for power penalty methods
    
    Zh. Vychisl. Mat. Mat. Fiz., 44:10 (2004),  1770–1781
25. First-order necessary conditions for abnormal problems in the calculus of variations
    
    Differ. Uravn., 27:5 (1991),  739–745
26. 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
27. Theorems on estimates in the neighborhood of a singular point of a mapping
    
    Mat. Zametki, 47:5 (1990),  3–13
28. Necessary extremum conditions for smooth anormal problems with equality- and inequality-type constraints
    
    Mat. Zametki, 45:6 (1989),  3–11
29. The maximum principle for abnormal optimal control problems
    
    Dokl. Akad. Nauk SSSR, 298:6 (1988),  1289–1292
30. 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
31. Conditions for an extremum for smooth problems with constraints of equality type
    
    Zh. Vychisl. Mat. Mat. Fiz., 25:5 (1985),  680–693
32. Regularization conditions for an approximating family of maximin problems with respect to associated sets
    
    Dokl. Akad. Nauk SSSR, 263:2 (1982),  265–269
33. On conditions for approximation of a lexicographical problem
    
    Zh. Vychisl. Mat. Mat. Fiz., 20:4 (1980),  889–900
34. Approximation conditions for max-min problems with connected sets
    
    Zh. Vychisl. Mat. Mat. Fiz., 18:3 (1978),  603–613


35. Georgy Georgievich Magaril-Il'yaev (on his 80th anniversary)
    
    Vladikavkaz. Mat. Zh., 26:2 (2024),  133–136
36. Osipenko Konstantin Yur'evich (on his 60th birthday)
    
    Vladikavkaz. Mat. Zh., 12:1 (2010),  68–70