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

• Datum: 2016
• Hauptverfasser: Gnyp, E. V., Гнип, Є. В.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2016
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1875
• Назва журналу: 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...