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Fredholm one-dimensional boundary-value problems in Sobolev spaces

Published 21 Oct 2019 in math.CA | (1910.09201v1)

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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