Asymptotics of eigenvalues of the two-dimensional Dirichlet boundary-value problem for the Lam, operator in a domain with a small hole

被引：3

作者：

Davletov, D. B. ^{[1
]}

机构：

[1] Bashkir State Pedag Univ, Ufa, Russia

来源：

MATHEMATICAL NOTES | 2013年 / 93卷 / 3-4期

基金：

俄罗斯基础研究基金会;

关键词：

Dirichlet boundary-value problem; Lame operator; Fredholm alternative; holomorphic function; asymptotics of eigenvalues; Bessel function;

D O I：

10.1134/S000143461303022X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Dirichlet boundary-value problem for the eigenvalues of the Lam, operator in a twodimensional bounded domain with a small hole is studied. The asymptotics of the eigenvalue of this boundary-value problem is constructed and justified up to the power of the parameter defining the diameter of the hole.

引用

页码：545 / 555

页数：11

共 8 条

[1] Asymptotics of eigenvalues of the two-dimensional Dirichlet boundary-value problem for the Lamé operator in a domain with a small hole
D. B. Davletov
Mathematical Notes, 2013, 93 : 545 - 555
[2] Asymptotics of eigenvalues of the Dirichlet boundary value problem for the Lame operator in a three-dimensional domain with a small cavity
D. B. Davletov
Computational Mathematics and Mathematical Physics, 2008, 48 : 1811 - 1822
[3] Asymptotics of Eigenvalues of the Dirichlet Boundary Value Problem for the Lame Operator in a Three-Dimensional Domain with a Small Cavity
Davletov, D. B.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2008, 48 (10) : 1811 - 1822
[4] ASYMPTOTICS OF THE EIGENVALUES OF A PERIODIC BOUNDARY VALUE PROBLEM FOR A DIFFERENTIAL OPERATOR OF ODD ORDER WITH SUMMABLE OPERATOR
Mitrokhin, S., I
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[5] ASYMPTOTICS OF THE SPECTRUM OF THE MIXED BOUNDARY VALUE PROBLEM FOR THE LAPLACE OPERATOR IN A THIN SPINDLE-SHAPED DOMAIN
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[6] Two-Dimensional Boundary Value Problem of Heat Conduction in a Cone with Special Boundary Conditions
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Lobachevskii Journal of Mathematics, 2021, 42 : 2913 - 2925
[7] Two-Dimensional Boundary Value Problem of Heat Conduction in a Cone with Special Boundary Conditions
Ramazanov, M., I
Jenaliyev, M. T.
Tanin, A. O.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2021, 42 (12) : 2913 - 2925
[8] On eigenelements of a two-dimensional Steklov-type boundary value problem for the Lame oper- ator
Davletov, D. B.
Davletov, O. B.
Davletova, R. R.
Ershov, A. A.
VESTNIK UDMURTSKOGO UNIVERSITETA-MATEMATIKA MEKHANIKA KOMPYUTERNYE NAUKI, 2023, 33 (01): : 54 - 65

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