Fredholm one-dimensional boundary-value problems in Sobolev spaces
Classical Analysis and ODEs
2019-10-22 v1
Abstract
For systems of ordinary differential equations on a compact interval, we study the character of solvability of the most general linear boundary-value problems in Sobolev spaces. We find the indices of these problems and obtain a criterion of their well-posedness.
Keywords
Cite
@article{arxiv.1910.09201,
title = {Fredholm one-dimensional boundary-value problems in Sobolev spaces},
author = {Olena Atlasiuk and Vladimir Mikhailets},
journal= {arXiv preprint arXiv:1910.09201},
year = {2019}
}