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

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,...

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Main Authors: Ja'afaru, Abbas Badakaya, Ibragimov, Gafurjan
Format: Article
Language:en
Published: Hindawi Publishing Corporation 2012
Online Access:http://psasir.upm.edu.my/id/eprint/25217/1/717124.pdf
http://psasir.upm.edu.my/id/eprint/25217/
https://www.hindawi.com/journals/jam/2012/717124/abs/
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author Ja'afaru, Abbas Badakaya
Ibragimov, Gafurjan
author_facet Ja'afaru, Abbas Badakaya
Ibragimov, Gafurjan
author_sort Ja'afaru, Abbas Badakaya
building UPM Library
collection Institutional Repository
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
continent Asia
country Malaysia
description 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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institution Universiti Putra Malaysia
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spelling my.upm.eprints-252172019-11-01T03:50:16Z http://psasir.upm.edu.my/id/eprint/25217/ On some pursuit and evasion differential game problems for an infinite number of first-order differential equations Ja'afaru, Abbas Badakaya Ibragimov, Gafurjan 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. Hindawi Publishing Corporation 2012 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/25217/1/717124.pdf 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 https://www.hindawi.com/journals/jam/2012/717124/abs/ 10.1155/2012/717124
spellingShingle Ja'afaru, Abbas Badakaya
Ibragimov, Gafurjan
On some pursuit and evasion differential game problems for an infinite number of first-order differential equations
title On some pursuit and evasion differential game problems for an infinite number of first-order differential equations
title_full On some pursuit and evasion differential game problems for an infinite number of first-order differential equations
title_fullStr On some pursuit and evasion differential game problems for an infinite number of first-order differential equations
title_full_unstemmed On some pursuit and evasion differential game problems for an infinite number of first-order differential equations
title_short On some pursuit and evasion differential game problems for an infinite number of first-order differential equations
title_sort on some pursuit and evasion differential game problems for an infinite number of first-order differential equations
url http://psasir.upm.edu.my/id/eprint/25217/1/717124.pdf
http://psasir.upm.edu.my/id/eprint/25217/
https://www.hindawi.com/journals/jam/2012/717124/abs/
url_provider http://psasir.upm.edu.my/