A Pursuit Problem in an Infinite System of Second-Order Differential Equations

• Published in: Український математичний журнал
• Date: 2013
• Main Authors: Ibragimov, G., Allahabi, F., Kuchkarov, A.
• Format: Article
• Language: Russian
• Published: Інститут математики НАН України 2013
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165598
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A Pursuit Problem in an Infinite System of Second-Order Differential Equations / G. Ibragimov, F. Allahabi, A. Kuchkarov // Український математичний журнал. — 2013. — Т. 65, № 8. — С. 1080–1091. — Бібліогр.: 19 назв. — англ.

We study a pursuit differential game problem for an infinite system of second-order differential equations. The control functions of players, i.e., a pursuer and an evader are subject to integral constraints. The pursuit is completed if z(τ) = z˙ (τ) = 0 at some τ > 0, where z(t) is the state of...