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

[21] Eigenvalues and eigenfunctions of a differential operator with nonlocal boundary conditions
Sil'chenko, Yu. T.
DIFFERENTIAL EQUATIONS, 2006, 42 (06) : 814 - 818
[22] Asymptotic distribution of eigenvalues for elliptic boundary value problems
Zielinski, L
ASYMPTOTIC ANALYSIS, 1998, 16 (3-4) : 181 - 201
[23] Eigenvalues and eigenfunctions of a differential operator with nonlocal boundary conditions
Yu. T. Sil’chenko
Differential Equations, 2006, 42 : 814 - 818
[24] ON THE BASIS PROPERTY OF EIGENFUNCTIONS OF ONE NONLOCAL BOUNDARY-VALUE PROBLEM
MOISEEV, EI
DOKLADY AKADEMII NAUK SSSR, 1990, 313 (03): : 556 - 559
[25] Asymptotic expansions for the eigenvalues and the eigenfunctions of boundary value problems with rapidly oscillating coefficients in a layer
Teplinskii, AY
DIFFERENTIAL EQUATIONS, 2000, 36 (06) : 911 - 917
[26] Asymptotic expansions for the eigenvalues and the eigenfunctions of boundary value problems with rapidly oscillating coefficients in a layer
A. Yu. Teplinskii
Differential Equations, 2000, 36 : 911 - 917
[27] AVERAGING OF EIGENVALUES AND EIGENFUNCTIONS OF A BOUNDARY-VALUE ELASTICITY PROBLEM FOR A PERFORATED DOMAIN
IOSIFYAN, GA
OLEINIK, OA
SHAMAEV, AS
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1983, (04): : 53 - 63
[28] Qualitative analysis of eigenvalues and eigenfunctions of one boundary value-transmission problem
Aydemir, Kadriye
Mukhtarov, Oktay S.
BOUNDARY VALUE PROBLEMS, 2016, : 1 - 16
[29] The problem of finding eigenvalues and eigenfunctions of boundary value problems for an equation of mixed type
Tojiboev, Ibrokhimjon Tojaliyevich
MATHEMATICA SLOVACA, 2025, 75 (01) : 143 - 150
[30] Qualitative analysis of eigenvalues and eigenfunctions of one boundary value-transmission problem
Kadriye Aydemir
Oktay S Mukhtarov
Boundary Value Problems, 2016

← 1 2 3 4 5 →