On some pursuit and evasion differential game problems for an infinite number of first-order differential equations

Citation

Ja'afaru, Abbas Badakaya and Ibragimov, Gafurjan (2012) On some pursuit and evasion differential game problems for an infinite number of first-order differential equations. Journal of Applied Mathematics, 2012. art. no. 717124. pp. 1-13. ISSN 1110-757X; ESSN: 1687-0042

Abstract

We study pursuit and evasion differential game problems described by infinite number of first-order differential equations with function coefficients in Hilbert space l2. 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.

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Additional Metadata

Item Type:	Article
Divisions:	Institute for Mathematical Research Faculty of Science
DOI Number:	https://doi.org/10.1155/2012/717124
Publisher:	Hindawi Publishing Corporation
Keywords:	Differential game; Control strategy; Infinite system
Depositing User:	Nur Farahin Ramli
Date Deposited:	15 Jul 2013 03:07
Last Modified:	01 Nov 2019 03:50
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2012/717124
URI:	http://psasir.upm.edu.my/id/eprint/25217
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