Existence, uniqueness, and dependence on a parameter of solutions of differential-functional equations with ordinary and partial derivatives

• Date: 1997
• Main Authors: Bigun, Ya. I., Бігун, Я. Й.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1997
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5053
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For a system of quasilinear hyperbolic equations with a system of differential equations with lag, we prove theorems on the existence and uniqueness of a solution of the Cauchy problem and its continuous dependence on the initial conditions.