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arXiv · 1911.00319

On the Existence of a Solution of the Boundary Initial-Value Problem

Vladimir V. Basov
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Abstract

An initial-value problem for an ordinary differential equation of the first order, is considered. It is supposed that the right-hand side of the equation is a continuous function defined on a set consisting of an open set and a part of its bound. Sufficient conditions of the existence and of non-existence of a solution through initial point belonging to the boundary part of the set of definition, are presented.

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Vladimir V. Basov. 2019-10-29. On the Existence of a Solution of the Boundary Initial-Value Problem. https://arxiv.org/abs/1911.00319

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