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This article is cited in 18 scientific papers (total in 18 papers)
On the theory of differential games
L. S. Pontryagin
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Russian Mathematical Surveys, 1966, 21:4, 193–246
Bibliographic databases:
 
UDC:
519.9
MSC: 91A23, 91A24, 58D15, 91A44, 91A70
Received: 08.04.1966
Citation:
L. S. Pontryagin, “On the theory of differential games”, Uspekhi Mat. Nauk, 21:4(130) (1966), 219–274; Russian Math. Surveys, 21:4 (1966), 193–246
Citation in format AMSBIB
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\by L.~S.~Pontryagin
\paper On the theory of differential games
\jour Uspekhi Mat. Nauk
\yr 1966
\vol 21
\issue 4(130)
\pages 219--274
\mathnet{http://mi.mathnet.ru/umn5903}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=204187}
\zmath{https://zbmath.org/?q=an:0163.41801}
\transl
\jour Russian Math. Surveys
\yr 1966
\vol 21
\issue 4
\pages 193--246
\crossref{https://doi.org/10.1070/RM1966v021n04ABEH004171}
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http://mi.mathnet.ru/eng/umn5903 http://mi.mathnet.ru/eng/umn/v21/i4/p219
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Avner Friedman, “Differential games of pursuit in Banach space”, Journal of Mathematical Analysis and Applications, 25:1 (1969), 93
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N. N. Vorob'ev, “The present state of the theory of games”, Russian Math. Surveys, 25:2 (1970), 77–136
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Avner Friedman, “Existence of value and of saddle points for differential games of pursuit and evasion”, Journal of Differential Equations, 7:1 (1970), 92
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D.L Lukes, D.L Russell, “A global theory for linear-quadratic differential games”, Journal of Mathematical Analysis and Applications, 33:1 (1971), 96
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James O. Flynn, “Lion and Man: The Boundary Constraint”, SIAM J Control, 11:3 (1973), 397
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T. Matsumoto, “On Some Properties of Min-Max Functions”, SIAM J Control Optim, 14:1 (1976), 144
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N. N. Krasovskii, “Differential games. Approximation and formal models”, Math. USSR-Sb., 35:6 (1979), 795–822
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N. T. Tynyanskii, A. V. Arutyunov, “On the system of Jacobi equations in a time-optimal problem”, Math. USSR-Izv., 21:2 (1983), 375–397
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M. S. Nikol'skii, “On the lower alternating integral of Pontryagin in linear differential games of pursuit”, Math. USSR-Sb., 56:1 (1987), 33–47
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A. V. Kryazhimskii, Yu. S. Osipov, “On Two-Dimensional Reduction in a Differential Game of Quality”, Proc. Steklov Inst. Math., 224 (1999), 198–211
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A. G. Chentsov, “Quasistrategies in an abstract control problem and the method of programmed iterations (a direct version)”, Russian Math. (Iz. VUZ), 49:11 (2005), 50–61
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L. V. Lokutsievskii, “Accumulation of Switchings in Search Problems”, Journal of Mathematical Sciences, 151:6 (2008), 3497–3505
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Proc. Steklov Inst. Math. (Suppl.), 253, suppl. 1 (2006), S208–S220
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Leon Petrosyan, Nikolay Zenkevich, “Time Consistency of Cooperative Solutions”, Contributions to Game Theory and Management, 1 (2007), 413–440
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F. F. Nikitin, “Viscosity solutions and programmed iteration method for Isaacs equation”, Vestn. S.-Peterburg. un-ta. Ser. 10. Prikl. matem. Inform. Prots. upr., 2014, no. 2, 84–92
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M. S. Nikol'skii, “A study of the generalized Pontryagin test example from the theory of differential games”, Proc. Steklov Inst. Math. (Suppl.), 299, suppl. 1 (2017), 158–164
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A. G. Chentsov, “The Programmed Iteration Method in a Game Problem of Realizing Trajectories in a Function Set”, Proc. Steklov Inst. Math., 304 (2019), 292–308
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