A Problem with Nonlocal Conditions for Partial Differential Equations with Variable Coefficients

• Date: 2001
• Main Authors: Vlasii, O. D., Ptashnik, B. I., Власій, О. Д., Пташник, Б. Й.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2001
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4352
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We establish conditions for the unique solvability of a problem for partial differential equations with coefficients dependent on variables t and x in a rectangular domain with nonlocal two-point conditions with respect to t and local boundary conditions with respect to x. We prove metric statements...