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

页码：1071 / 1083

页数：13

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