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

0570353 - MÚ 2024 RIV US eng J - Článek v odborném periodiku
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
Institucionální podpora: RVO:67985840
Klíčová slova: Fredholm operator * index of operator * inhomogeneous boundary-value problem * fractional Sobolev space
Obor OECD: Pure mathematics
Impakt faktor: 0.5, rok: 2022
Způsob publikování: Omezený přístup
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.
Trvalý link: https://hdl.handle.net/11104/0341652