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Subbotin, Andrei Izmailovich
(1945–1997)
Statistics Math-Net.Ru
Total publications: 34
Scientific articles: 34

Number of views:
This page:3396
Abstract pages:8052
Full texts:3221
References:366
Member of the Russian Academy of Sciences
Professor
Doctor of physico-mathematical sciences (1973)
Birth date: 16.02.1945
   
Main publications:
  • Pozitsionnye differentsialnye igry. M., 1974 (v soavtorstve s N. N. Krasovskim);
  • Optimizatsiya garantii v zadachakh upravleniya. M., 1981 (v soavtorstve s A. G. Chentsovym);
  • Game-Theoretical Control Problems. N.Y., 1988 (v soavtorstve s N. N. Krasovskim);
  • Minimaksnye neravenstva i uravneniya Gamiltona–Yakobi. M., 1991.

https://www.mathnet.ru/eng/person8597
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/190762

Publications in Math-Net.Ru Citations
1999
1. A. I. Subbotin, “Minimax solutions of Hamilton–Jacobi equations”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 64 (1999),  222–231  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 103:6 (2001), 772–777 5
2. A. I. Subbotin, A. G. Chentsov, “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  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 224 (1999), 286–309 14
3. F. Clarke, Yu. S. Ledyaev, A. I. Subbotin, “Universal Feedback Control via Proximal Aiming in Problems of Control under Disturbance and Differential Games”, Trudy Mat. Inst. Steklova, 224 (1999),  165–186  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 224 (1999), 149–168 10
1998
4. A. S. Lakhtin, A. I. Subbotin, “Multivalued solutions of first-order partial differential equations”, Mat. Sb., 189:6 (1998),  33–58  mathnet  mathscinet  zmath; Sb. Math., 189:6 (1998), 849–873  isi  scopus 7
1996
5. A. I. Subbotin, A. G. Chentsov, “An iterative procedure for constructing minimax and viscosity solutions of the Hamilton–Jacobi equations”, Dokl. Akad. Nauk, 348:6 (1996),  736–739  mathnet  mathscinet  zmath 9
6. A. I. Subbotin, “Minimax solutions of first-order partial differential equations”, Uspekhi Mat. Nauk, 51:2(308) (1996),  105–138  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 51:2 (1996), 283–313  isi  scopus 17
1993
7. A. I. Subbotin, N. N. Subbotina, “Piecewise-smooth solutions of first-order partial differential equations”, Dokl. Akad. Nauk, 333:6 (1993),  705–707  mathnet  mathscinet  zmath; Dokl. Math., 48:3 (1994), 650–654 1
1992
8. A. I. Subbotin, L. G. Shagalova, “Piecewise-linear solution of the Cauchy problem for the Hamilton–Jacobi equation”, Dokl. Akad. Nauk, 325:5 (1992),  932–936  mathnet  mathscinet  zmath; Dokl. Math., 46:1 (1993), 144–148 6
9. A. I. Subbotin, “Continuous and discontinuous solutions of boundary value problems for first-order partial differential equations”, Dokl. Akad. Nauk, 323:1 (1992),  30–34  mathnet  mathscinet  zmath; Dokl. Math., 45:2 (1992), 257–261 3
10. R. A. Adiatullina, A. I. Subbotin, “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  mathnet  mathscinet; Differ. Equ., 28:5 (1992), 643–649 1
11. I. Rozyev, A. I. Subbotin, “Discontinuous solutions of the Hamilton–Jacobi equation”, Differ. Uravn., 28:4 (1992),  727–729  mathnet  mathscinet  zmath 1
12. A. I. Subbotin, “Monotone with respect to preorder trajectories of differential equations”, Trudy Inst. Mat. i Mekh. UrO RAN, 1 (1992),  138–146  mathnet  mathscinet  zmath  elib 2
1991
13. A. I. Subbotin, “On a property of the subdifferential”, Mat. Sb., 182:9 (1991),  1315–1330  mathnet  mathscinet  zmath; Math. USSR-Sb., 74:1 (1993), 63–78  isi 16
1988
14. A. I. Subbotin, “A piecewise-linear cost function for a differential game with simple moves”, Trudy Mat. Inst. Steklov., 185 (1988),  242–251  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 185 (1990), 269–278 3
1985
15. A. I. Subbotin, A. M. Tarasyev, “Conjugate derivatives of the value function of a differential game”, Dokl. Akad. Nauk SSSR, 283:3 (1985),  559–564  mathnet  mathscinet  zmath 11
16. A. I. Subbotin, “Conditions for optimality of the guaranteed result in game-theoretic control problems”, Trudy Mat. Inst. Steklov., 167 (1985),  261–274  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 167 (1986), 291–304 1
1984
17. M. Baybazarov, A. I. Subbotin, “A determination of the cost of a differential game”, Differ. Uravn., 20:9 (1984),  1489–1495  mathnet  mathscinet 2
1982
18. A. I. Subbotin, N. N. Subbotina, “The optimum result function in a control problem”, Dokl. Akad. Nauk SSSR, 266:2 (1982),  294–299  mathnet  mathscinet  zmath 7
1981
19. V. Ya. Dzhafarov, A. I. Subbotin, “The program maximin and the value of a positional differential game”, Dokl. Akad. Nauk SSSR, 257:6 (1981),  1305–1309  mathnet  mathscinet  zmath 1
1980
20. A. I. Subbotin, “A generalization of the basic equation of the theory of differential games”, Dokl. Akad. Nauk SSSR, 254:2 (1980),  293–297  mathnet  mathscinet  zmath 18
1978
21. A. I. Subbotin, N. N. Subbotina, “Necessary and sufficient conditions for a piecewise smooth value of a differential game”, Dokl. Akad. Nauk SSSR, 243:4 (1978),  862–865  mathnet  mathscinet  zmath 8
1977
22. A. I. Subbotin, “A dynamic converge-evasion game”, Dokl. Akad. Nauk SSSR, 234:2 (1977),  323–326  mathnet  mathscinet  zmath 1
1975
23. N. N. Krasovskii, A. I. Subbotin, V. F. Rossokhin, “Stochastic strategies in differential games”, Dokl. Akad. Nauk SSSR, 220:5 (1975),  1023–1026  mathnet  mathscinet  zmath 5
1972
24. A. I. Subbotin, “Extremal strategies in differential games with perfect memory”, Dokl. Akad. Nauk SSSR, 206:3 (1972),  552–555  mathnet  mathscinet  zmath 10
25. N. N. Krasovskii, A. I. Subbotin, V. N. Ushakov, “A minimax differential game”, Dokl. Akad. Nauk SSSR, 206:2 (1972),  277–280  mathnet  mathscinet  zmath 13
26. N. N. Krasovskii, A. I. Subbotin, “The saddle point of a positional differential game”, Trudy Mat. Inst. Steklov., 128 (1972),  22–33  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 128 (1972), 23–34 4
1971
27. N. N. Krasovskii, A. I. Subbotin, “Extremal strategies in differential games”, Dokl. Akad. Nauk SSSR, 196:2 (1971),  278–281  mathnet  mathscinet  zmath 4
1970
28. A. I. Subbotin, “Differential games with constraints on the phase states”, Dokl. Akad. Nauk SSSR, 193:2 (1970),  294–297  mathnet  mathscinet  zmath 1
29. N. N. Krasovskii, A. I. Subbotin, “On the structure of differential games”, Dokl. Akad. Nauk SSSR, 190:3 (1970),  523–526  mathnet  mathscinet  zmath 23
30. N. N. Krasovskii, A. I. Subbotin, “A differential guidance game”, Differ. Uravn., 6:4 (1970),  579–591  mathnet  mathscinet  zmath 8
1969
31. N. N. Krasovskii, A. N. Subbotin, “Mixed control in a differential game”, Dokl. Akad. Nauk SSSR, 188:4 (1969),  745–747  mathnet  mathscinet  zmath 12
1968
32. N. N. Krasovskii, A. I. Subbotin, “Optimal deviation in a differential game”, Differ. Uravn., 4:12 (1968),  2159–2165  mathnet  mathscinet  zmath 4
33. A. I. Subbotin, “Regularization of a certain problem on the contact of motions”, Differ. Uravn., 4:5 (1968),  779–784  mathnet  mathscinet  zmath 1
1967
34. A. I. Subbotin, “Control of motion of a quasilinear system”, Differ. Uravn., 3:7 (1967),  1113–1118  mathnet  mathscinet  zmath 5

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