On the Existence of a Solution of the Boundary Initial-Value Problem
Classical Analysis and ODEs
2019-11-04 v1
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.
Keywords
Cite
@article{arxiv.1911.00319,
title = {On the Existence of a Solution of the Boundary Initial-Value Problem},
author = {Vladimir V. Basov},
journal= {arXiv preprint arXiv:1911.00319},
year = {2019}
}
Comments
10 pages, 6 figures, in Russian