Differential systems in Sobolev spaces with generic inhomogeneous boundary conditions

Autor:	Mikhailets, Vladimir, Atlasiuk, Olena
Rok vydání:	2024
Předmět:	Mathematics - Classical Analysis and ODEs Mathematics - Analysis of PDEs 34B05 34B08 34B10 47A53
Druh dokumentu:	Working Paper
Popis:	The paper contains a review of results on linear systems of ordinary differential equations of an arbitrary order on a finite interval with the most general inhomogeneous boundary conditions in Sobolev spaces. The character of the solvability of such problems is investigated, their Fredholm properties are established, and their indexes and the dimensions of their kernels and co-kernels are found. In addition, necessary and sufficient conditions of continuity in the parameter of the solutions of the introduced classes of boundary-value problems in Sobolev spaces of an arbitrary order are obtained. Comment: arXiv admin note: substantial text overlap with arXiv:2310.07353, arXiv:2305.00495
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.15330 Zobrazit plný text záznamu View this record from Arxiv