On the Solvability of Fredholm Boundary-Value Problems in Fractional Sobolev Spaces

被引：0

作者：

V. A. Mikhailets

O. M. Atlasiuk

T. B. Skorobohach

机构：

[1] Institute of Mathematics of the Czech Academy of Sciences,Institute of Mathematics

[2] National Academy of Sciences of Ukraine,undefined

[3] “I. Sikorsky Kyiv Polytechnic Institute” Ukrainian National Technical University,undefined

来源：

Ukrainian Mathematical Journal | 2023年 / 75卷

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摘要：

We study systems of linear ordinary differential equations with the most general inhomogeneous boundary conditions in fractional Sobolev spaces on a finite 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 determined. We also present examples showing the constructive character of the obtained results.

引用

页码：107 / 117

页数：10