Fredholm one-dimensional boundary-value problems in Sobolev spaces
arXiv:1910.09201 · doi:10.1007/s11253-019-01588-w
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.