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

0570353 - MÚ 2024 RIV US eng J - Journal Article
Atlasiuk, Olena - Mikhailets, Volodymyr - Skorobohach, T. B.
On the solvability of Fredholm boundary-value problems in fractional Sobolev spaces.
Ukrainian Mathematical Journal. Roč. 75, č. 1 (2023), s. 107-117. ISSN 0041-5995. E-ISSN 1573-9376
Institutional support: RVO:67985840
Keywords : Fredholm operator * index of operator * inhomogeneous boundary-value problem * fractional Sobolev space
OECD category: Pure mathematics
Impact factor: 0.5, year: 2022
Method of publishing: Limited access
https://doi.org/10.1007/s11253-023-02188-5

We study systems of linear ordinary differential equations with the most general inhomogeneous boundary conditions in fractional Sobolev spaces on a nite interval. The Fredholm property of these problems in the corresponding pairs of Banach spaces is proved. Their indices and dimensions of the kernels and cokernels are found. We also present examples showing the constructive character of the obtained results.
Permanent Link: https://hdl.handle.net/11104/0341652