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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2002, Volume 236, Pages 230–233 (Mi tm294)  
A Saddle Point in a Differential Game on an Unbounded Time Interval

N. B. Melnikov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: An example of a positional differential game with integral payoff on a half-line is considered. The existence of a saddle point of the game is proved. The value function and optimal strategies are presented.
Received in October 2000
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: N. B. Melnikov, “A Saddle Point in a Differential Game on an Unbounded Time Interval”, Differential equations and dynamical systems, Collected papers. Dedicated to the 80th anniversary of academician Evgenii Frolovich Mishchenko, Trudy Mat. Inst. Steklova, 236, Nauka, MAIK «Nauka/Inteperiodika», M., 2002, 230–233; Proc. Steklov Inst. Math., 236 (2002), 218–221
Citation in format AMSBIB
\Bibitem{Mel02}
\by N.~B.~Melnikov
\paper A~Saddle Point in a~Differential Game on an Unbounded Time Interval
\inbook Differential equations and dynamical systems
\bookinfo Collected papers. Dedicated to the 80th anniversary of academician Evgenii Frolovich Mishchenko
\serial Trudy Mat. Inst. Steklova
\yr 2002
\vol 236
\pages 230--233
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm294}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1931024}
\zmath{https://zbmath.org/?q=an:1026.91022}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2002
\vol 236
\pages 218--221
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