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,...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Hindawi Publishing Corporation
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/25217/ http://psasir.upm.edu.my/id/eprint/25217/1/717124.pdf |
| _version_ | 1848845248296386560 |
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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 Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T08:43:48Z |
| format | Article |
| id | upm-25217 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:43:48Z |
| publishDate | 2012 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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/ http://psasir.upm.edu.my/id/eprint/25217/ http://psasir.upm.edu.my/id/eprint/25217/ http://psasir.upm.edu.my/id/eprint/25217/1/717124.pdf |