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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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/717124 |
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| author | Abbas Badakaya Ja'afaru Gafurjan Ibragimov |
| author_facet | Abbas Badakaya Ja'afaru Gafurjan Ibragimov |
| author_sort | Abbas Badakaya Ja'afaru |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-1f56265d7b684e2887cabf07744c3379 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-1f56265d7b684e2887cabf07744c33792025-02-03T01:21:08ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/717124717124On Some Pursuit and Evasion Differential Game Problems for an Infinite Number of First-Order Differential EquationsAbbas Badakaya Ja'afaru0Gafurjan Ibragimov1Department of Mathematics, Universiti Putra Malaysia, Serdang, 43400 Selangor, MalaysiaDepartment of Mathematics, Universiti Putra Malaysia, Serdang, 43400 Selangor, MalaysiaWe 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.http://dx.doi.org/10.1155/2012/717124 |
| spellingShingle | Abbas Badakaya Ja'afaru Gafurjan Ibragimov On Some Pursuit and Evasion Differential Game Problems for an Infinite Number of First-Order Differential Equations Journal of Applied Mathematics |
| 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://dx.doi.org/10.1155/2012/717124 |
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