Continuity in a parameter of solutions to linear boundary-value problems in Hölder–Zygmund spaces

TitleContinuity in a parameter of solutions to linear boundary-value problems in Hölder–Zygmund spaces
Publication TypeJournal Article
Year of Publication2016
AuthorsMurach, AA, Soldatov, VO
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2016.10.015
Issue10
SectionMathematics
Pagination15-21
Date Published10/2016
LanguageUkrainian
Abstract

We introduce and investigate the broadest class of linear boundary-value problems for the systems of first-order ordinary differential equations, whose solutions belong to the complex Hölder–Zygmund space. For these problems, we establish a constructive criterion, under which their solutions are continuous in a parameter in this space.
Keywordsboundary-value problem, continuity in a parameter, Hölder–Zygmund space, system of differential equations
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