Boundary-value problem in an infinite layer

• Date: 1995
• Main Authors: Antypko, I. I., Semenova, N. O., Антипко, І. І., Семенова, Н. О.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1995
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5429
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We establish necessary and sufficient conditions for a nonlocal two-point boundary-value problem in an infinite layer for the equation $$\frac{{\partial ^2 u(x,t)}}{{\partial t^2 }} + P\left( {\frac{\partial }{{\partial x}}} \right)\frac{{\partial u(x + h_1 ,t)}}{{\partial t}} + Q\left( {\frac{\par...