Representation and investigation of solutions of a nonlocal boundary-value problem for a system of partial differential equations

• Date: 1996
• Main Authors: Il'kiv, V. S., Ptashnik, B. I., Ільків, В. С., Пташник, Б. Й.
• 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/5346
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study the boundary-value problem for a system of partial differential equations with constant coefficients with conditions nonlocal in time. By using a metric approach, we prove the well-posedness of the problem in the scale of Sobolev spaces of functions periodic in space variables. By using mat...