On some pursuit and evasion differential game problems for an infinite number of first-order differential equations
type: Item
instance of: scholarly article
title: On some pursuit and evasion differential game problems for an infinite number of first-order differential equations
zbMATH Open document ID: 1251.91012
DOI: 10.1155/2012/717124
author: Abbas Badakaya Ja'afaru
author: Gafurjan I. Ibragimov
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: We study pursuit and evasion differential game problems described by infinite number of first-order differential equations with function coefficients in Hilbert space \(l_{2}\). Problems involving integral, geometric, and mix constraints to the control functions of the players are considered. In each case, we give sufficient conditions for completion of pursuit and for which evasion is possible. Consequently, strategy of the pursuer and control function of the evader are constructed in an explicit form for every problem considered.
Mathematics Subject Classification ID: 91A23
Mathematics Subject Classification ID: 49N70
zbMATH DE Number: 6106294
zbMATH Keywords: pursuit differential games
zbMATH Keywords: evasion differential games
zbMATH Keywords: first-order differential equations
Wikidata QID: Q58907228
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/717124
OpenAlex ID: W2168578601
cites work: Q5638152
cites work: Q5532185
cites work: Q4039729
cites work: Q4284068
cites work: Q4457179
cites work: Q4096750
cites work: On some game problems for first-order controlled evolution equations
cites work: Game problems on a fixed interval in controlled first-order evolution equations
cites work: On game problems for second-order evolution equations
cites work: Some problems in the theory of differential pursuit games in systems with distributed parameters
cites work: On pursuit problems in controlled distributed systems
cites work: PURSUIT AND EVASION DIFFERENTIAL GAMES IN HILBERT SPACE
description: scientific article; zbMATH DE number 6106294