Conitnuity of the solutions of one-dimensional boundary-value problems with respect to the parameter in slobodetsky spaces

• Date: 2016
• Main Authors: Gnyp, E. V., Гнип, Є. В.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2016
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1875
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For the system of linear ordinary differential equations of the first order, we study the broadest class of inhomogeneous boundary-value problems whose solutions belong to the Slobodetsky space $W^{s+1}_p ((a, b),C^m)$ with $m \in N,\; s > 0$, and $p \in (1,\infty )$. We prove a theorem on...