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Subbotin Andrei Izmailovich

Publications in Math-Net.Ru

  1. Minimax solutions of Hamilton–Jacobi equations

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 64 (1999),  222–231
  2. An Iterative Procedure for Constructing Minimax and Viscosity Solutions to the Hamilton–Jacobi Equations and Its Generalization

    Trudy Mat. Inst. Steklova, 224 (1999),  311–334
  3. Universal Feedback Control via Proximal Aiming in Problems of Control under Disturbance and Differential Games

    Trudy Mat. Inst. Steklova, 224 (1999),  165–186
  4. Multivalued solutions of first-order partial differential equations

    Mat. Sb., 189:6 (1998),  33–58
  5. An iterative procedure for constructing minimax and viscosity solutions of the Hamilton–Jacobi equations

    Dokl. Akad. Nauk, 348:6 (1996),  736–739
  6. Minimax solutions of first-order partial differential equations

    Uspekhi Mat. Nauk, 51:2(308) (1996),  105–138
  7. Piecewise-smooth solutions of first-order partial differential equations

    Dokl. Akad. Nauk, 333:6 (1993),  705–707
  8. Piecewise-linear solution of the Cauchy problem for the Hamilton–Jacobi equation

    Dokl. Akad. Nauk, 325:5 (1992),  932–936
  9. Continuous and discontinuous solutions of boundary value problems for first-order partial differential equations

    Dokl. Akad. Nauk, 323:1 (1992),  30–34
  10. Generalized solutions of an equation of the form ${\partial\varphi}/{\partial t}+H(t,x,\varphi,\nabla_x\varphi)=0$

    Differ. Uravn., 28:5 (1992),  799–806
  11. Discontinuous solutions of the Hamilton–Jacobi equation

    Differ. Uravn., 28:4 (1992),  727–729
  12. Monotone with respect to preorder trajectories of differential equations

    Trudy Inst. Mat. i Mekh. UrO RAN, 1 (1992),  138–146
  13. On a property of the subdifferential

    Mat. Sb., 182:9 (1991),  1315–1330
  14. A piecewise-linear cost function for a differential game with simple moves

    Trudy Mat. Inst. Steklov., 185 (1988),  242–251
  15. Conjugate derivatives of the value function of a differential game

    Dokl. Akad. Nauk SSSR, 283:3 (1985),  559–564
  16. Conditions for optimality of the guaranteed result in game-theoretic control problems

    Trudy Mat. Inst. Steklov., 167 (1985),  261–274
  17. A determination of the cost of a differential game

    Differ. Uravn., 20:9 (1984),  1489–1495
  18. The optimum result function in a control problem

    Dokl. Akad. Nauk SSSR, 266:2 (1982),  294–299
  19. The program maximin and the value of a positional differential game

    Dokl. Akad. Nauk SSSR, 257:6 (1981),  1305–1309
  20. A generalization of the basic equation of the theory of differential games

    Dokl. Akad. Nauk SSSR, 254:2 (1980),  293–297
  21. Necessary and sufficient conditions for a piecewise smooth value of a differential game

    Dokl. Akad. Nauk SSSR, 243:4 (1978),  862–865
  22. A dynamic converge-evasion game

    Dokl. Akad. Nauk SSSR, 234:2 (1977),  323–326
  23. Stochastic strategies in differential games

    Dokl. Akad. Nauk SSSR, 220:5 (1975),  1023–1026
  24. Extremal strategies in differential games with perfect memory

    Dokl. Akad. Nauk SSSR, 206:3 (1972),  552–555
  25. A minimax differential game

    Dokl. Akad. Nauk SSSR, 206:2 (1972),  277–280
  26. The saddle point of a positional differential game

    Trudy Mat. Inst. Steklov., 128 (1972),  22–33
  27. Extremal strategies in differential games

    Dokl. Akad. Nauk SSSR, 196:2 (1971),  278–281
  28. Differential games with constraints on the phase states

    Dokl. Akad. Nauk SSSR, 193:2 (1970),  294–297
  29. On the structure of differential games

    Dokl. Akad. Nauk SSSR, 190:3 (1970),  523–526
  30. A differential guidance game

    Differ. Uravn., 6:4 (1970),  579–591
  31. Mixed control in a differential game

    Dokl. Akad. Nauk SSSR, 188:4 (1969),  745–747
  32. Optimal deviation in a differential game

    Differ. Uravn., 4:12 (1968),  2159–2165
  33. Regularization of a certain problem on the contact of motions

    Differ. Uravn., 4:5 (1968),  779–784
  34. Control of motion of a quasilinear system

    Differ. Uravn., 3:7 (1967),  1113–1118


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