Skip to main content
Log in

Andrei Izmailovich Subbotin (On the occasion of his 70th birthday)

  • Published:
Proceedings of the Steklov Institute of Mathematics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. A. I. Subbotin, “Control of the motion of a quasilinear system,” Differents. Uravneniya 3 (7), 1113–1118 (1967).

    MathSciNet  Google Scholar 

  2. A. I. Subbotin, “On the problem of the game-interception of motions,” J. Appl. Math. Mech. 31 (5), 842–848 (1968).

    Article  MathSciNet  Google Scholar 

  3. A. I. Subbotin, “Regularization of a problem on the encounter of motions,” Differents. Uravneniya 4 (5), 779–784 (1968).

    MathSciNet  Google Scholar 

  4. N. N. Krasovskii and A. I. Subbotin, “Optimal evasion in a differential game,” Differents. Uravneniya 4 (12), 2159–2165 (1968).

    MathSciNet  Google Scholar 

  5. N. N. Krasovskii and A. I. Subbotin, “The problem of convergence of controlled objects,” J. Appl. Math. Mech. 32 (4), 597–586 (1968).

    Article  MathSciNet  MATH  Google Scholar 

  6. A. I. Subbotin, Encounter and Evasion Problems in Differential Games, Candidate’s Dissertation in Physics and Mathematics (Ural State Univ., Sverdlovsk, 1969).

    Google Scholar 

  7. A. I. Subbotin, Encounter and Evasion Problems in Differential Games, Abstract of Candidate’s Dissertation in Physics and Mathematics (Ural State Univ., Sverdlovsk, 1969).

    Google Scholar 

  8. N. N. Krasovskii and A. I. Subbotin, “Mixed control in a differential game,” Soviet Math. Dokl. 10 (5), 1180–1183 (1969).

    MathSciNet  MATH  Google Scholar 

  9. N. N. Krasovskii and A. I. Subbotin, “Optimal strategies in a linear differential game,” J. Appl. Math. Mech. 33 (4), 675–682 (1969).

    Article  MathSciNet  MATH  Google Scholar 

  10. A. I. Subbotin and V. E. Tret’yakov, “Regularization of a pursuit problem,” in Proceedings of the Second Republican Conference of Belorussian Mathematicians, Minsk, USSR, 1969, pp. 219–221.

    Google Scholar 

  11. N. N. Krasovskii and A. I. Subbotin, “The structure of differential games,” Soviet Math. Dokl. 11 (3), 143–147 (1970).

    MathSciNet  Google Scholar 

  12. A. I. Subbotin, “Differential games with constraints on phase states,” Soviet Math. Dokl. 11, 933–936 (1970).

    MathSciNet  MATH  Google Scholar 

  13. N. N. Krasovskii and A. I. Subbotin, “A differential guidance game,” Differents. Uravneniya 6 (4), 579–591 (1970).

    MathSciNet  Google Scholar 

  14. N. N. Barabanova and A. I. Subbotin, “On continuous evasion strategies in game problems on the encounter of motions,” J. Appl. Math. Mech. 34 (5), 765–772 (1970).

    Article  MathSciNet  MATH  Google Scholar 

  15. N. N. Krasovskii and A. I. Subbotin, “An alternative for the game problem of convergence,” J. Appl. Math. Mech. 34 (6), 948–965 (1970).

    Article  MathSciNet  MATH  Google Scholar 

  16. N. N. Krasovskii and A. I. Subbotin, “Extremal strategies in differential games,” Soviet Math. Dokl. 12, 98–102 (1971).

    MathSciNet  MATH  Google Scholar 

  17. N. N. Krasovskii and A. I. Subbotin, “On the structure of game problems of dynamics,” J. Appl. Math. Mech. 35 (1), 81–91 (1971).

    Article  MathSciNet  Google Scholar 

  18. N. N. Barabanova and A. I. Subbotin, “On classes of strategies in differential games of evasion of contact,” J. Appl. Math. Mech. 35 (3), 349–356 (1971).

    Article  MathSciNet  MATH  Google Scholar 

  19. V. D. Batukhtin and A. I. Subbotin, “The regular case in a linear differential game,” Engrg. Cybernetics 9 (6), 978–982 (1972).

    MathSciNet  Google Scholar 

  20. N. N. Krasovskii, A. I. Subbotin, and V. N. Ushakov, “A minimax differential game,” Soviet Math. Dokl. 13 (5), 1200–1204 (1972).

    MATH  Google Scholar 

  21. A. I. Subbotin, “Extremal strategies in differential games with perfect memory,” Soviet Math. Dokl. 13 (5), 1263–1267 (1972).

    MATH  Google Scholar 

  22. V. D. Batukhtin and A. I. Subbotin, “Conditions for terminating a pursuit game,” Engrg. Cybernetics, 10 (1), 1–5 (1972).

    MathSciNet  Google Scholar 

  23. A. I. Subbotin, “Program and position absorption in differential games,” J. Appl. Math. Mech. 36 (4), 701–704 (1973).

    Article  MathSciNet  MATH  Google Scholar 

  24. N. N. Krasovskii and A. I. Subbotin, “The saddle point of a positional differential game,” Proc. Steklov Inst. Math. 128, 23–34 (1974).

    MATH  Google Scholar 

  25. A. I. Subbotin, Extremal Strategies in Differential Games, Doctoral Dissertation in Physics and Mathematics (Ural State Univ., Sverdlovsk, 1973).

    Google Scholar 

  26. A. I. Subbotin, Extremal Strategies in Differential Games, Abstract of Doctoral Dissertation in Physics and Mathematics (Ural State Univ., Sverdlovsk, 1973).

    Google Scholar 

  27. N. N. Krasovskii and A. I. Subbotin, “Approximation in a differential game,” J. Appl. Math. Mech. 37 (2), 185–192 (1973).

    Article  MathSciNet  MATH  Google Scholar 

  28. A. I. Subbotin, “Differential games with complete memory,” in Extremal Strategies in Positional Differential Games (UNTs AN SSSR, Sverdlovsk, 1974), issue 8, pp. 211–223 [in Russian].

    MathSciNet  Google Scholar 

  29. A. I. Subbotin, “Control under conflict and uncertainty,” in Twenty Lectures Delivered at the International Congress of Mathematicians in Vancouver, 1974 (Amer. Math. Soc., Providence, RI, 1977), pp. 91–96.

    Chapter  Google Scholar 

  30. N. N. Krasovskii and A. I. Subbotin, Positional Differential Games (Nauka, Moscow, 1974) [in Russian]; Translated into French under the title Jeux Différentiels (Mir, Moscow, 1977).

    MATH  Google Scholar 

  31. N. N. Krasovskii and A. I. Subbotin, “Differential games with mixed strategies,” in Problems of Analytical Mechanics and the Theories of Stability and Control (Nauka, Moscow, 1975), pp. 11–18 [in Russian].

    Google Scholar 

  32. A. I. Subbotin, “Control under conflict and uncertainty,” in Proceedings of the International Congress of Mathematicians, Vancouver, Canada, 1974, Vol. 2, pp. 361–366.

    Google Scholar 

  33. N. N. Krasovskii, A. I. Subbotin, and V. F. Rossokhin, “Stochastic strategies in differential games,” Soviet Math. Dokl. 16 (1), 198–202 (1975).

    MATH  Google Scholar 

  34. A. I. Subbotin and V. N. Ushakov, “Alternative for an encounter–evasion differential game with integral constraints on the players’ controls,” J. Appl. Math. Mech. 39 (3), 367–375 (1976).

    Article  MathSciNet  MATH  Google Scholar 

  35. N. N. Subbotina and A. I. Subbotin, “Alternative for the encounter–evasion differential game with constraints on the momenta of the players’ controls,” J. Appl. Math. Mech. 39 (3), 376–385 (1976).

    Article  MathSciNet  MATH  Google Scholar 

  36. A. I. Subbotin, “A dynamical encounter–evasion game,” Soviet Math. Dokl. 18 (3), 683–687 (1977).

    MATH  Google Scholar 

  37. N. N. Subbotina and A. I. Subbotin, “A game problem of control in the case of incomplete information,” Engrg. Cybernetics 15 (5), 1–10 (1978).

    MathSciNet  MATH  Google Scholar 

  38. A. I. Subbotin and N. N. Subbotina, “Necessary and sufficient conditions for a piecewise smooth value of a differential game,” Soviet Math. Dokl. 19 (6), 1447–1451 (1978).

    MathSciNet  MATH  Google Scholar 

  39. M. Baibazarov and A. I. Subbotin, “Generalized potentials in a differential game with a fixed termination instant,” J. Appl. Math. Mech. 42 (2), 205–211 (1979).

    Article  MathSciNet  MATH  Google Scholar 

  40. A. A. Kreknin and A. I. Subbotin, “A game problem of pursuit under incomplete information on the states of the pursued system,” in Differential Control Systems (IMM UNTs AN SSSR, Sverdlovsk, 1979), issue 26, pp. 21–33 [in Russian].

    MathSciNet  Google Scholar 

  41. M. S. Gabrielyan and A. I. Subbotin, “Game problems on encounter with m target sets,” J. Appl. Math. Mech. 43 (2), 222–226 (1980).

    Article  MathSciNet  Google Scholar 

  42. A. I. Subbotin, “A generalization of the basic equation of the theory of differential games,” Soviet Math. Dokl. 22 (2), 358–362 (1980).

    MATH  Google Scholar 

  43. A. I. Subbotin and A. G. Chentsov, Guarantee Optimization in Control Problems (Nauka, Moscow, 1981) [in Russian].

    MATH  Google Scholar 

  44. N. N. Subbotina and A. I. Subbotin, “Necessary and sufficient conditions for a nonsmooth value of a differential game,” in Problems of Dynamic Control (IMM UNTs AN SSSR, Sverdlovsk, 1981), pp. 73–81 [in Russian].

    Google Scholar 

  45. V. Ya. Dzhafarov and A. I. Subbotin, “The program maximin and the value of a positional differential game,” Soviet Math. Dokl. 23 (2), 452–456 (1981).

    MathSciNet  MATH  Google Scholar 

  46. V M. Reshetov, A. I. Subbotin, and V. N. Ushakov, “Some problems of stability and stabilization in differential games,” in Stability of Motion. Analytical Mechanics. Control of Motion (Nauka, Moscow, 1981), pp. 238–251 [in Russian].

    Google Scholar 

  47. A. I. Subbotin, “On the isochronous and stroboscopic capture in differential games,” J. Optim. Theory Appl. 37 (1), 115–119 (1982).

    Article  MathSciNet  MATH  Google Scholar 

  48. V. F. Rossokhin and A. I. Subbotin, On Characteristic Properties of the Value Function in a Linear Differential Game (Kirov, 1982), Available from VINITI, No. 4320–82 [in Russian].

    Google Scholar 

  49. A. I. Subbotin and N. N. Subbotina, “The optimal result function in a control problem,” Soviet Math. Dokl. 26 (2), 336–340 (1982).

    MathSciNet  MATH  Google Scholar 

  50. A. I. Subbotin and N. N. Subbotina, “Properties of a differential game’s potential,” J. Appl. Math. Mech. 46 (2), 150–155 (1983).

    Article  MathSciNet  MATH  Google Scholar 

  51. N. N. Subbotina and A. I. Subbotin, “Differentiability properties of the value function in a differential game with integral–terminal payoff,” Probl. Upravl. Teor. Inform. 12 (3), 153–166 (1983).

    MathSciNet  Google Scholar 

  52. A. I. Subbotin and N. N. Subbotina, “The basis for the method of dynamic programming in optimal control problems,” Engrg. Cybernetics 21 (2), 16–23 (1984).

    MathSciNet  Google Scholar 

  53. A. I. Subbotin, “Generalization of the main equation of differential game theory,” J. Optim. Theory Appl. 43 (1), 103–133 (1984).

    Article  MathSciNet  MATH  Google Scholar 

  54. M. Baibazarov and A. I. Subbotin, “Determination of the value of a differential game,” Differential Equations 20 (9), 1068–1073 (1984).

    MathSciNet  MATH  Google Scholar 

  55. A. I. Subbotin and A. M. Taras’ev, Inequalities for Conjugate Derivatives of the Value Function of a Differential Game (Sverdlovsk, 1984), Available from VINITI, No. 6345–84 [in Russian].

    MATH  Google Scholar 

  56. H. G. Guseinov, A. I. Subbotin, and V. N. Ushakov, “Derivatives for multivalued mappings with applications to game-theoretical problems of control,” Probl. Control Inform. Theory 14 (3), 155–167 (1985).

    MathSciNet  MATH  Google Scholar 

  57. A. I. Subbotin and A. M. Taras’ev, “Conjugate derivatives of the value function of a differential game,” Soviet Math. Dokl. 32 (1), 162–166 (1985).

    MathSciNet  MATH  Google Scholar 

  58. N. N. Subbotina, A. I. Subbotin, and V. E. Tret’yakov, “Stochastic and deterministic control. Differential inequalities,” Probl. Control Inform. Theory 14 (6), 405–419 (1985).

    MathSciNet  MATH  Google Scholar 

  59. H. G. Guseinov, A. I. Subbotin, and V. N. Ushakov, Derivatives of Stable Bridges in a Differential Game of Approach (Sverdlovsk, 1985), Available from VINITI, No. 840–85 [in Russian].

    MATH  Google Scholar 

  60. A. I. Subbotin and N. N. Subbotina, “Directional derivatives of the optimal result function,” in Problems of Analytical Mechanics and Motion Control (Nauka, Moscow, 1985), pp. 131–136 [in Russian].

    Google Scholar 

  61. A. I. Subbotin, “Conditions for optimality of a guaranteed outcome in game problems of control,” Proc. Steklov Inst. Math. 167, 291–304 (1986).

    MATH  Google Scholar 

  62. N. N. Subbotina, A. I. Subbotin, and V. E. Tret’yakov, “Stochastic and deterministic control. Differential inequalities,” Stochastic Optimization (Springer, Berlin, 1986), Ser. Lecture Notes in Control and Information Sciences, Vol. 81, pp. 728–737.

    Article  MathSciNet  MATH  Google Scholar 

  63. A. I. Subbotin and A. M. Taras’ev, “Stability properties of the value function of a differential game and viscosity solutions of Hamilton–Jacobi equations,” Probl. Control Inform. Theory 15 (6), 451–463 (1986).

    MathSciNet  MATH  Google Scholar 

  64. I. Rozyev, A. I. Subbotin, and A. M. Taras’ev, On a Game Problem of Approach for Two Weakly Controlled Objects (Sverdlovsk, 1986), Available from VINITI, No. 8976–V86 [in Russian].

    Google Scholar 

  65. A. I. Subbotin, A. M. Taras’ev, and V. N. Ushakov, On the justification of the dynamic programming method in the theory of differential games, in Differential Equations and Applications: Proceedings of the International Conference, Ruse, Bulgaria, 1985 (Angel Kanchev Univ., Ruse, 1987), pp. 409–412.

    Google Scholar 

  66. A. I. Subbotin, “Calculation of the value in a differential game of approach of simple motions on a bounded time interval,” in Control with a Guaranteed Result (IMM UNTs AN SSSR, Sverdlovsk, 1987), pp. 71–76 [in Russian].

    Google Scholar 

  67. N. N. Krasovski and A. I. Subbotin, Game-Theoretical Control Problems (Springer, New York, 1988).

    Book  Google Scholar 

  68. I. Rozyev and A. I. Subbotin, “Semicontinuous solutions of Hamilton–Jacobi equations,” J. Appl. Math. Mech. 52 (2), 141–146 (1988).

    Article  MathSciNet  MATH  Google Scholar 

  69. A. I. Subbotin, “Approximation of a guaranteed result in game control problems,” in Positional Control with Guaranteed Result (IMM UrO AN SSSR, Sverdlovsk, 1988), pp. 92–100 [in Russian].

    Google Scholar 

  70. A. I. Subbotin, “A piecewise linear value function for a differential game with simple motions,” Proc. Steklov Inst. Math. 185, 269–278 (1990).

    MATH  Google Scholar 

  71. R. A. Adiatullina and A. I. Subbotin, Minimax Solutions of Equations of the Form ∂φ/∂t+H(t, x, φ,ωxφ) = 0 (Sverdlovsk, 1989), Available from VINITI, No. 7651–V89 [in Russian].

    Google Scholar 

  72. A. I. Subbotin and L. G. Shagalova, Piecewise Linear Functions Used for the Construction of Solutions of Hamilton–Jacobi Equations (Sverdlovsk, 1990), Available from VINITI, No. 5627–V90 [in Russian].

    MATH  Google Scholar 

  73. A. I. Subbotin, “Existence and uniqueness results for Hamilton–Jacobi equations,” Nonlinear Anal. 16 (7–8), 683–699 (1991).

    Article  MathSciNet  MATH  Google Scholar 

  74. A. I. Subbotin, Minimax Inequalities and Hamilton–Jacobi Equations (Nauka, Moscow, 1991) [in Russian].

    MATH  Google Scholar 

  75. A. F. Kleimenov and A. I. Subbotin, “Positional differential games: Theory, applications, related topics,” in Proceedings of the International Conference on Game Theory, Florence, Italy, 1991, p. 15.

    Google Scholar 

  76. A. I. Subbotin, “On a property of the subdifferential,” Math. USSR Sb. 74 (1), 63–78 (1993).

    Article  MathSciNet  MATH  Google Scholar 

  77. I. Rozyev and A. I. Subbotin, “Discontinuous solutions of the Hamilton–Jacobi equation,” Differents. Uravneniya 28 (4), 727–729 (1992).

    MathSciNet  MATH  Google Scholar 

  78. A. I. Subbotin, “Continuous and discontinuous solutions of boundary value problems for first-order partial differential equations,” Russian Acad. Sci. Dokl. Math. 45 (2), 257–261 (1993).

    MathSciNet  Google Scholar 

  79. A. I. Subbotin and L. G. Shagalova, “Piecewise linear functions defined by structure matrices,” in Control Problems with Guaranteed Result (IMM UrO RAN, Yekaterinburg, 1992), pp. 73–87 [in Russian].

    Google Scholar 

  80. A. I. Subbotin, “Trajectories of differential inclusions that are monotone with respect to preorder,” Trudy Inst. Mat. Mekh. UrO RAN 1, 138–146 (1992).

    MathSciNet  MATH  Google Scholar 

  81. R. A. Adiatullina and A. I. Subbotin, “Minimax solutions of equations of the form ∂φ/∂t+H(t,x,φ,ωxφ) = 0,” Differential Equations 28 (5), 643–649 (1992).

    MathSciNet  Google Scholar 

  82. A. I. Subbotin and L. G. Shagalova, “A piecewise linear solution of the Cauchy problem for the Hamilton–Jacobi equation,” Russian Acad. Sci. Dokl. Math. 46 (1), 144–148 (1993).

    MathSciNet  MATH  Google Scholar 

  83. A. I. Subbotin, “Discontinuous solutions of a Dirichlet-type boundary value problem for the first-order partial differential equation,” Russian J. Numer. Anal. Math. Modelling 8 (2), 145–164 (1993).

    MathSciNet  MATH  Google Scholar 

  84. A. I. Subbotin, “A theory of generalized solutions to first-order PDEs with an emphasis on differential games,” in Advances in Nonlinear Dynamics and Control: A Report from Russia (Birkhäuser, Boston, 1993), Ser. Progress in Systems and Control Theory, Vol. 17, pp. 189–229.

    MathSciNet  MATH  Google Scholar 

  85. A. I. Subbotin, Generalized Characteristics of First-Order Partial Differential Equations, Preprint No. CRM-1848 (Univ. Montreal, Montreal, 1993).

    Google Scholar 

  86. A. I. Subbotin and N. N. Subbotina, “Piecewise smooth solutions of first-order partial differential equations,” Russian Acad. Sci. Dokl. Math. 48 (3), 650–654 (1994).

    MathSciNet  MATH  Google Scholar 

  87. A. I. Subbotin, A. M. Taras’ev, and V. N. Ushakov, “Generalized characteristics of Hamilton–Jacobi equations,” J. Comput. Systems Sci. Internat. 32 (2), 157–163 (1994).

    MathSciNet  Google Scholar 

  88. G. G. Garnysheva and A. I. Subbotin, “Strategies of minimax aiming in the direction of the quasigradient,” J. Appl. Math. Mech. 58 (4), 575–581 (1994).

    Article  MathSciNet  MATH  Google Scholar 

  89. F. H. Clarke, Yu. S. Ledyaev, Subbotin, Universal Feedback via Proximal Aiming in Problems of Control and Differential Games, Preprint No. CRM-2386 (Univ. Montreal, Montreal, 1994).

    Google Scholar 

  90. A. I. Subbotin and N. N. Subbotina, “Nonsmooth and discontinuous solutions of first-order partial differential equations,” J. Comput. Systems Sci. Internat. 33 (6), 118–126 (1995).

    MathSciNet  MATH  Google Scholar 

  91. A. I. Subbotin, Generalized Solutions of First-Order PDEs: The Dynamic Optimization Perspective (Birkhäuser, Boston, 1995).

    Book  Google Scholar 

  92. G. G. Garnysheva and A. I. Subbotin, “Suboptimal universal strategies in an optimum-time game problem,” J. Appl. Math. Mech. 59 (5), 677–683 (1995).

    Article  MathSciNet  MATH  Google Scholar 

  93. A. I. Subbotin, “Generalized solutions of partial differential equations of the first order. The invariance of graphs relative to differential inclusions,” J. Math. Sci. 78 (5), 594–611 (1996).

    Article  MathSciNet  MATH  Google Scholar 

  94. A. I. Subbotin, “Minimax solutions of first-order partial differential equations,” Russ. Math. Surv. 51 (2), 283–313 (1996).

    Article  MathSciNet  MATH  Google Scholar 

  95. A. I. Subbotin, “M-solutions of first-order partial differential equations and their application to differential pursuit game,” in The Century of Radio: Collection of Papers (Izd. UrO RAN, Yekaterinburg, 1996), pp. 202–218 [in Russian].

    Google Scholar 

  96. A. I. Subbotin and A. G. Chentsov, “An iterative procedure for constructing minimax and viscosity solutions of the Hamilton–Jacobi equations,” Russian Acad. Sci. Dokl. Math. 53 (3), 416–419 (1996).

    MathSciNet  MATH  Google Scholar 

  97. F. H. Clarke, Yu. S. Ledyaev, E. D. Sontag, and A. I. Subbotin, “Asymptotic controllability and feedback stabilization,” in Proceedings of the Conference on Information Sciences and Systems, Princeton, NJ, USA, 1996, pp. 1232–1237.

    Google Scholar 

  98. F. H. Clarke, Yu. S. Ledyaev, and A. I. Subbotin, “The synthesis of universal feedback pursuit strategies in differential games,” SIAM J. Control Optim. 35 (2), 552–561 (1997).

    Article  MathSciNet  MATH  Google Scholar 

  99. F. H. Clarke, Yu. S. Ledyaev, E. D. Sontag, and A. I. Subbotin, “Asymptotic controllability implies feedback stabilization,” IEEE Trans. Automat. Control 42 (10), 1394–1407 (1997).

    Article  MathSciNet  MATH  Google Scholar 

  100. A. S. Lakhtin and A. I. Subbotin, “Multivalued solutions of first-order partial differential equations,” Russian Akad. Sci. Sb. Math. 189 (6), 849–873 (1998).

    MathSciNet  MATH  Google Scholar 

  101. A. S. Lakhtin and A. I. Subbotin, “Minimax and viscosity solutions to discontinuous first-order partial differential equations,” Russian Akad. Sci. Dokl. Math. 57 (2), 246–250 (1998).

    MATH  Google Scholar 

  102. A. S. Lakhtin and A. I. Subbotin, Generalized Solutions to Discontinuous First-Order Partial Differential Equations (Sverdlovsk, 1998), Available from VINITI, No. 267–V98 [in Russian].

    MATH  Google Scholar 

  103. A. I. Subbotin, “Constructive theory of positional differential games and generalized solutions to Hamilton–Jacobi equations,” in Stochastic and Differential Games: Theory and Numerical Methods, Ed. by M. Bardi, T. E. S. Raghavan, and T. Parthasarathy (Birkhäuser, Boston, 1999), Ser. Annals of the International Society of Dynamic Games, Vol. 4, pp. 3–67.

    Article  MathSciNet  MATH  Google Scholar 

  104. A. I. Subbotin and A. G. Chentsov, “An iterative procedure for constructing minimax and viscosity solutions to the Hamilton–Jacobi equations and its generalization,” Proc. Steklov Inst. Math. 224, 286–309 (1999).

    MathSciNet  MATH  Google Scholar 

  105. A. I. Subbotin, “Minimax solutions to Hamilton–Jacobi equations,” in Results in Science and Engineering, Ser. Modern Mathematics and Its Applications (VINITI, Moscow, 1999), Vol. 64, pp. 222–231 [in Russian].

    MathSciNet  MATH  Google Scholar 

  106. A. I. Subbotin, Generalized Solutions of First-Order Partial Differential Equations: The Dynamical Optimization Perspective (Inst. Komp. Issled., Moscow–Izhevsk, 2003) [in Russian].

    Google Scholar 

  107. A. I. Subbotin, “Superreachable domains,” Izv. Ural. Gos. Univ., No. 34, 14–31 (2005).

    Google Scholar 

Download references

Authors

Additional information

Original Russian Text © A.M. Taras’ev, V.N. Ushakov, A.G.Chentsov, N.N. Subbotina, 2015, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Vol. 21, No. 2.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Taras’ev, A.M., Ushakov, V.N., Chentsov, A.G. et al. Andrei Izmailovich Subbotin (On the occasion of his 70th birthday). Proc. Steklov Inst. Math. 293 (Suppl 1), 1–16 (2016). https://doi.org/10.1134/S0081543816050011

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0081543816050011

Navigation