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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Bibliographic Details
Published in:Journal of Applied Mathematics 2012-01, Vol.2012 (2012), p.1365-1377-590
Main Authors: Ja'afaru, Abbas Badakaya, Ibragimov, Gafurjan
Format: Article
Language:English
Subjects:
Construction
Differential equations
Differential games
Game theory
Hilbert space
Inequality
Integrals
Mathematical analysis
Ordinary differential equations
Partial differential equations
Players
Strategy
Studies
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Summary: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.
ISSN:1110-757X
1687-0042
DOI:10.1155/2012/717124