Periodic solutions of Quasilinear Hyperbolic integro-differential equations of second order

• Date: 1996
• Main Authors: Petrovskii, Ya. B., Петрівський, Я. Б.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1996
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5211
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study a periodic boundary-value problem for a quasilinear integro-differential equation with the d’Alembert operator on the left-hand side and a nonlinear integral operator on the right-hand side. We establish conditions under which the uniqueness theorems are true.