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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2022, Volume 19, Issue 1, Pages 371–377
DOI: https://doi.org/10.33048/semi.2022.19.032 (Mi semr1508) 		 
Real, complex and functional analysis

Problem of multiple capture of given number of evaders in recurrent differential games

N. N. Petrov, N. A. Solov'eva

Udmurt State University, 1, Universitetskaya str., Izhevsk, 426034, Russia
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DOI: https://doi.org/10.33048/semi.2022.19.032
Abstract: The problem of pursuit by a group of pursuers of a group of evaders with equal opportunities for all participants and geometric restrictions on the control of players is considered. The evaders use program strategies, each pursuer catches no more than one evader. The goal of the pursuers is to catch a given number of evaders, and each evader needs to be caught no less than a certain number of pursuers. In this paper, sufficient conditions are obtained for multiple capture of a given number of evaders.
Keywords: differential game, pursuer, evader, recurrent function.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 2019-0552
Russian Foundation for Basic Research 20-01-00293
This work was funded by the Ministry of Science and Higher Education of the Russian Federation in the framework of the program of a competitive selection of scientific laboratories (project 2019-0552) and by RFFI (grant 20-01-00293).
Received August 4, 2020, published July 7, 2022
Bibliographic databases:
Document Type: Article
UDC: 517.977
MSC: 49N70, 49N75
Language: English
Citation: N. N. Petrov, N. A. Solov'eva, “Problem of multiple capture of given number of evaders in recurrent differential games”, Sib. Èlektron. Mat. Izv., 19:1 (2022), 371–377
Citation in format AMSBIB
\Bibitem{PetSol22}
\by N.~N.~Petrov, N.~A.~Solov'eva
\paper Problem of multiple capture of given number of evaders in recurrent differential games
\jour Sib. \`Elektron. Mat. Izv.
\yr 2022
\vol 19
\issue 1
\pages 371--377
\mathnet{http://mi.mathnet.ru/semr1508}
\crossref{https://doi.org/10.33048/semi.2022.19.032}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4449224}
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