Lukoyanov Nikolai Yur'evich

Publications in Math-Net.Ru

1. On the minimax solution of path-dependent Hamilton–Jacobi equations for neutral-type systems
   
   Uspekhi Mat. Nauk, 79:4(478) (2024),  177–178
2. Minimax solutions of Hamilton–Jacobi equations in dynamic optimization problems for hereditary systems
   
   Uspekhi Mat. Nauk, 79:2(476) (2024),  43–144
3. The value and optimal strategies in a positional differential game for a neutral-type system
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 30:3 (2024),  86–98
4. On linear-quadratic differential games for fractional-order systems
   
   Mat. Teor. Igr Pril., 15:2 (2023),  18–32
5. On Extremal Shift Strategies in Time-Delay Systems
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 27:2 (2021),  150–161
6. Differential Games in Fractional-Order Systems: Inequalities for Directional Derivatives of the Value Functional
   
   Trudy Mat. Inst. Steklova, 315 (2021),  74–94
7. Inequalities for subgradients of a value functional in differential games for time-delay systems
   
   Dokl. RAN. Math. Inf. Proc. Upr., 490 (2020),  91–94
8. Construction of Solutions to Control Problems for Fractional-Order Linear Systems Based on Approximation Models
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 26:1 (2020),  39–50
9. On the Theory of Positional Differential Games for Neutral-Type Systems
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 25:3 (2019),  118–128
10. Stable Functionals of Neutral-Type Dynamical Systems
    
    Trudy Mat. Inst. Steklova, 304 (2019),  221–234
11. Approximation of minimax solutions to Hamilton-Jacobi functional equations for delay systems
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 24:1 (2018),  53–62
12. Hamilton-Jacobi equations in dynamical optimization problems for neutral-type systems
    
    Tambov University Reports. Series: Natural and Technical Sciences, 23:122 (2018),  268–277
13. On the numerical solution of differential games for neutral-type linear systems
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 23:1 (2017),  75–87
14. Existence of the value and saddle point in positional differential games for neutral-type systems
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 22:2 (2016),  101–112
15. On a minimax control problem for a positional functional under geometric and integral constraints on control actions
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 21:2 (2015),  87–101
16. Differential games for neutral-type systems: An approximation model
    
    Trudy Mat. Inst. Steklova, 291 (2015),  202–214
17. On the approximation of nonlinear conflict-controlled systems of neutral type
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 20:4 (2014),  204–217
18. On the numerical solution of a minmax control problem with a positional functional
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 20:3 (2014),  58–75
19. On the stability of a procedure for solving a minimax control problem for a positional functional
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 20:1 (2014),  68–82
20. Finite-dimensional modeling guides in time-delay systems
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 19:1 (2013),  182–195
21. On numerical solution of differential games with nonterminal payoff in classes of mixed strategies
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2013, no. 3,  34–48
22. Calculating the optimal guaranteed result in systems with control delays
    
    Izv. IMI UdGU, 2012, no. 1(39),  38–39
23. On Hamilton–Jacobi formalism in time-delay control systems
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 16:5 (2010),  269–277
24. Minimax and viscosity solutions in optimization problems for hereditary systems
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 15:4 (2009),  183–194
25. On optimality conditions for the guaranteed result in control problems for time-delay systems
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 15:3 (2009),  158–169
26. Stable functionals in control problems with hereditary information
    
    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 2,  77–80
27. On viscosity solution of functional Hamilton–Jacobi type equations for hereditary systems
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 13:2 (2007),  135–144
28. On infinitesimal properties of the value functional in control problems with hereditary information
    
    Izv. IMI UdGU, 2006, no. 3(37),  83–84
29. Differential inequalities for a nonsmooth value functional in control systems with an aftereffect
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 12:2 (2006),  108–118
30. Minimax Solutions of Functional Equations of the Hamilton–Jacobi Type for Hereditary Systems
    
    Differ. Uravn., 37:2 (2001),  228–237
31. How to Compute the Value of a Positional Differential Game
    
    Differ. Uravn., 37:1 (2001),  18–26
32. Equations of Hamilton-Jacobi type in hereditary systems: minimax solutions
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 6:1 (2000),  110–130
33. On the conflict control problem with mixed constraints on the control actions
    
    Differ. Uravn., 31:9 (1995),  1473–1482
34. On a differential game with an integral performance index
    
    Differ. Uravn., 30:11 (1994),  1905–1913


35. Boris Nikolaevich Chetverushkin (on his eightieth birthday)
    
    Uspekhi Mat. Nauk, 79:4(478) (2024),  181–187
36. The Third Conference of Russian Mathematical Centers
    
    Uspekhi Mat. Nauk, 79:1(475) (2024),  191–194