Continuity of the solutions of one-dimensional boundary-value problems in Hölder spaces with respect to the parameter

• Date: 2017
• Main Authors: Maslyuk, H. O., Маслюк, Г. О.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2017
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1677
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We introduce the most general class of linear boundary-value problems for systems of ordinary differential equations of order $r \geq 2$ whose solutions belong to the complex Hölder space $C^{n+r,\alpha} ([a, b])$, where $n \in Z_{+},\; 0 < \alpha \leq 1$ и $[a, b] \subset R$, and $[a, b...