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

• Date: 2013
• Main Authors: Allahabi, F., Ibragimov, G. I., Kuchkarov, A., Аллахабі, Ф., Ібрагімов, Г. І., Кучкаров, А.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2013
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2491
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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) = \( \dot{z} \) (τ) = 0 at some τ > 0, where z(t)...