Multipoint boundary-value problems for systems of first order differential equations in Hölder spaces

• Date: 2016
• Author Affiliations: В. О. Солдатов — Інститут математики НАН України
• Keywords: keywords
• Main Authors: Soldatov, V. O., Солдатов, В. О.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2016
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/264
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

We investigate a broad class of parameter-dependent multipoint linear boundary-value problems for systems of first order ordinary differential equations. We prove a criterion for continuous dependence on the parameter of solutions to these problems in H\"older spaces.