Boundary Criterion for Integral Operators

被引：15

作者：

Kal'menov, T. Sh. ^{[1
]}

Otelbaev, M. ^{[1
]}

机构：

[1] Inst Math & Math Modeling, Ul Shevchenko 28, Alma Ata 050010, Kazakhstan

来源：

DOKLADY MATHEMATICS | 2016年 / 93卷 / 01期

关键词：

Integral Operator; Maximal Operator; DOKLADY Mathematic; Inverse Operator; Minimal Operator;

D O I：

10.1134/S1064562416010208

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Integral operators of the form for the case of a finite domain Omega aS, R (n) with smooth boundary a,Omega are considered. Conditions on the real kernel K(x, t) of an integral operator under which this operator satisfies a well-defined boundary condition for the corresponding differential equation are found. The application of the results is demonstrated on the example of a Sturm-Liouville equation, for which the derivation of the general form of well-posed boundary value problems is presented.

引用

页码：58 / 61

页数：4

共 7 条

[1] On a nonlocal boundary value problem for the multidimensional heat equation in a noncylindrical domain [J].

Kal'menov, T. Sh ;

Tokmagambetov, N. E. .

SIBERIAN MATHEMATICAL JOURNAL, 2013, 54 (06) :1023-1028

[2] Boundary conditions for the volume potential for the polyharmonic equation [J].

Kal'menov, T. Sh. ;

Suragan, D. .

DIFFERENTIAL EQUATIONS, 2012, 48 (04) :604-608

[3]

Kal'menov TS, 2011, OPER THEORY ADV APPL, V216, P187

[4] To spectral problems for the volume potential [J].

Kal'menov, T. Sh. ;

Suragan, D. .

DOKLADY MATHEMATICS, 2009, 80 (02) :646-649

[5]

Kalmenov T. Sh., 2012, Zh. Vychisl. Mat. Mat. Fiz., V52, P1063

[6]

Otelbaev M., 1983, DOKL AKAD NAUK, V271, P1307

[7]

Vishik M. I., 1952, Trudy Moskov. Mat. Obshch., V1, P187

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