Continuity in a parameter of solutions to linear boundary-value problems in Hölder–Zygmund spaces
DOI:
https://doi.org/10.15407/dopovidi2016.10.015Keywords:
boundary-value problem, continuity in a parameter, Hölder–Zygmund space, system of differential equationsAbstract
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.
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