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

UDC 517.927 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 dimensio...

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Bibliographic Details
Date:2023
Main Authors: Mikhailets, V. A., Atlasiuk, О. М., Skorobohach, T. B., Михайлець, В. А., Атласюк, О. М., Скоробогач, Т. Б.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2023
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/7308
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal