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arXiv · 2211.08039

On the solvability of Fredholm boundary-value problems in fractional Sobolev spaces

Vladimir Mikhailets·Olena Atlasiuk·Tetiana Skorobohach
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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.

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Vladimir Mikhailets, Olena Atlasiuk, Tetiana Skorobohach. 2022-11-15. On the solvability of Fredholm boundary-value problems in fractional Sobolev spaces. https://doi.org/10.1007/s11253-023-02188-5

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