Asymptotic Distribution of Eigenvalues and Eigenfunctions of a Nonlocal Boundary Value Problem

被引：7

作者：

Sen, Erdogan ^{[1
]}

Stikonas, Arturas ^{[2
]}

机构：

[1] Tekirdag Namik Kemal Univ, Kampus Str 1, TR-59030 Tekirdag, Turkey

[2] Vilnius Univ, Inst Appl Math, Naugarduko G 24, LT-03225 Vilnius, Lithuania

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2021年 / 26卷 / 02期

关键词：

differential equation; nonlocal conditions; asymptotics of eigenvalues and eigenfunctions; STURM-LIOUVILLE PROBLEM; SPECTRUM;

D O I：

10.3846/mma.2021.13056

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we obtain asymptotic formulas for eigenvalues and eigenfunctions of the second order boundary-value problem with a Bitsadze-Samarskii type nonlocal boundary condition.

引用

页码：253 / 266

页数：14

共 50 条

[41] The basis property of the system of eigenfunctions and generalized eigenfunctions of nonlocal boundary value problems
Aliev, IV
SIBERIAN MATHEMATICAL JOURNAL, 1997, 38 (02) : 203 - 212
[42] The basis property of the system of eigenfunctions and generalized eigenfunctions of nonlocal boundary value problems
I. V. Aliev
Siberian Mathematical Journal, 1997, 38 : 203 - 212
[43] On multi-scale asymptotic structure of eigenfunctions in a boundary value problem with concentrated masses near the boundary
Sergei A. Nazarov
M. Eugenia Pérez
Revista Matemática Complutense, 2018, 31 : 1 - 62
[44] On multi-scale asymptotic structure of eigenfunctions in a boundary value problem with concentrated masses near the boundary
Nazarov, Sergei A.
Eugenia Perez, M.
REVISTA MATEMATICA COMPLUTENSE, 2018, 31 (01): : 1 - 62
[45] Asymptotic behavior of eigenvalues and eigenfunctions of the Fourier problem in a thick multilevel junction
Mel'nyk T.A.
Ukrainian Mathematical Journal, 2006, 58 (2) : 220 - 243
[46] ASYMPTOTICS OF EIGENVALUES AND EIGENVALUES OF A DISCONTINUOUS BOUNDARY VALUE PROBLEM
Gasymov, Telman B.
Huseynli, Ali A.
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2011, 35 (43): : 21 - 32
[47] THE ASYMPTOTIC DISTRIBUTION OF EIGENFUNCTIONS AND EIGENVALUES FOR SEMI-ELLIPTIC DIFFERENTIAL OPERATORS
BROWDER, FE
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1957, 43 (03) : 270 - 273
[48] ASYMPTOTIC BEHAVIOR OF STEKLOFF EIGENVALUES AND EIGENFUNCTIONS
SHAMMA, SE
SIAM JOURNAL ON APPLIED MATHEMATICS, 1971, 20 (03) : 482 - &
[49] Calculation of eigenvalues and eigenfunctions of a discontinuous boundary value problem with retarded argument which contains a spectral parameter in the boundary condition
Sen, Erdogan
Bayramov, Azad
MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (11-12) : 3090 - 3097
[50] ASYMPTOTIC BEHAVIOR OF STEKLOFF EIGENVALUES AND EIGENFUNCTIONS
SHAMMA, SE
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 17 (02): : 418 - &

← 1 2 3 4 5 →