Rank criteria for the controllability of a boundary-value problem for a linear system of integro-differential equations with pulse influence

• Date: 2000
• Main Authors: Akhmetov, M. U., Seilova, R. D., Ахметов, М. У., Сеілова, Р. Д.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2000
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4466
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We determine necessary and sufficient conditions for the solvability of boundary-value problems for a linear system of integro-differential equations with pulse influence. We prove theorems on the existence and integral representation of solutions of linear second order integral-sum Volterra equatio...