Fredholm One-Dimensional Boundary-Value Problems in Sobolev Spaces

被引:0
作者
O. M. Atlasiuk
V. A. Mikhailets
机构
[1] Institute of Mathematics,
[2] Ukrainian National Academy of Sciences,undefined
来源
Ukrainian Mathematical Journal | 2019年 / 70卷
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摘要
For systems of ordinary differential equations on a compact interval, we study the character of solvability of the most general linear boundary-value problems in Sobolev spaces. We find the indices of these problems and obtain a criterion of their well-posedness.
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页码:1526 / 1537
页数:11
相关论文
共 5 条
[1]  
Mikhailets VA(2015)Limit theorem for general one-dimensional boundary-value problems J. Math. Sci. 204 333-342
[2]  
Chekhanova GA(2013)Solutions of one-dimensional boundary-value problems with a parameter in Sobolev spaces J. Math. Sci. 190 589-599
[3]  
Kodlyuk TI(1930)A lemma of the theory of linear differential systems Bull. Amer. Math. Soc. 36 99-102
[4]  
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[5]  
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