On the solvability of Fredholm boundary-value problems in fractional Sobolev spaces
Classical Analysis and ODEs
2023-08-04 v2
Abstract
Systems of linear ordinary differential equations with the most general inhomogeneous boundary conditions in fractional Sobolev spaces on a finite interval are studied. The Fredholm property of such problems in corresponding pairs of Banach spaces is proved, and their indices and dimensions of kernels and cokernels are found. Examples are given that show the constructive character of the obtained results.
Keywords
Cite
@article{arxiv.2211.08039,
title = {On the solvability of Fredholm boundary-value problems in fractional Sobolev spaces},
author = {Vladimir Mikhailets and Olena Atlasiuk and Tetiana Skorobohach},
journal= {arXiv preprint arXiv:2211.08039},
year = {2023}
}