SOLVABILITY CONDITIONS FOR THE NONLOCAL BOUNDARY-VALUE PROBLEM FOR A DIFFERENTIAL-OPERATOR EQUATION WITH WEAK NONLINEARITY IN THE REFINED SOBOLEV SCALE OF SPACES OF FUNCTIONS OF MANY REAL VARIABLES

被引：0

作者：

Il'kiv, V. S. ^{[1
]}

Strap, N. I. ^{[1
]}

Volyanska, I. I. ^{[1
]}

机构：

[1] Lvivs Ka Politekhn Natl Univ, Lvov, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2020年 / 72卷 / 04期

关键词：

PERIODIC-SOLUTIONS; CANTOR FAMILIES;

D O I：

10.1007/s11253-020-01798-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the solvability of the nonlocal boundary-value problem for a differential equation with weak nonlinearity. By using the Nash-Mozer iterative scheme, we establish the solvability conditions for the posed problem in the Hilbert Hormander spaces of functions of several real variables, which form a refined Sobolev scale.

引用

页码：515 / 535

页数：21

共 34 条

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[28] ON SOLVABILITY CONDITIONS OF BOUNDARY VALUE PROBLEMS FOR A CLASS OF OPERATOR-DIFFERENTIAL EQUATIONS OF THE THIRD ORDER IN SOBOLEV TYPE SPACES
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[29] NECESSARY AND SUFFICIENT CONDITIONS FOR THE CORRECT SOLVABILITY OF A BOUNDARY-VALUE PROBLEM IN A LAYER FOR PARTIAL-DIFFERENTIAL-EQUATION SYSTEMS
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[30] Determining of Coefficients and the Classical Solvability of a Nonlocal Boundary-Value Problem for the Benney–Luke Integro-Differential Equation with Degenerate Kernel
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