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arXiv · 1910.09201

Fredholm one-dimensional boundary-value problems in Sobolev spaces

Olena Atlasiuk·Vladimir Mikhailets
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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.

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Olena Atlasiuk, Vladimir Mikhailets. 2019-10-21. Fredholm one-dimensional boundary-value problems in Sobolev spaces. https://doi.org/10.1007/s11253-019-01588-w

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