FREDHOLM BOUNDARY-VALUE PROBLEM IN SOBOLEV-SLOBODETSKY SPACES

被引：2
|
作者：
Mikhailets, V. A. [1 ]
Skorobohach, T. B. [2 ]
机构：
[1] Natl Acad Sci Ukraine, Inst Math, Kiev, Ukraine
[2] Natl Tech Univ Ukraine, I Sikorsky Kyiv Polytech Inst, Kiev, Ukraine
来源：
UKRAINIAN MATHEMATICAL JOURNAL | 2021年 / 73卷 / 07期
关键词：
SYSTEMS; PARAMETER; LIMIT;
D O I：
10.1007/s11253-021-01977-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the most general class of linear one-dimensional boundary-value problems whose solutions range over a given Sobolev-Slobodetsky space. We establish necessary and sufficient conditions for the unique solvability of problems of this kind and obtain a criterion of continuity of their solutions with respect to a parameter in the indicated space.
引用
收藏
页码：1071 / 1083
页数：13
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