Fredholm boundary-value problem in Sobolev – Slobodetsky spaces

• Date: 2021
• Main Authors: Mikhailets, V. A., Skorobohach , T. B., Михайлець, В. А., Скоробогач, Т. Б.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2021
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6684
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.927 We investigate the most general class of linear one-dimensional boundary value problems whose solutions range over a given Sobolev – Slobodetsky space. We find necessary and sufficient conditions for the unique solvability of such problems and prove a criterion of continuity of their sol...