Asymptotic Analysis of Sturm-Liouville Problem with Dirichlet and Nonlocal Two-Point Boundary Conditions

被引：3

作者：

Stikonas, Arturas ^{[1
]}

Sen, Erdogan ^{[2
]}

机构：

[1] Vilnius Univ, Inst Appl Math, Naugarduko g 24, LT-03225 Vilnius, Lithuania

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

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2023年 / 28卷 / 02期

关键词：

Sturm-Liouville problem; Dirichlet condition; two-point nonlocal conditions; asymptotics of eigenvalues and eigenfunctions; EIGENVALUE PARAMETER; SPECTRUM CURVES; EIGENFUNCTIONS;

D O I：

10.3846/mma.2023.17617

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, we obtain asymptotic expansions for eigenvalues and eigen-functions of the one-dimensional Sturm-Liouville equation with one classical Dirich-let type boundary condition and two-point nonlocal boundary condition. We analyze the characteristic equation of the boundary value problem for eigenvalues and de-rive asymptotic expansions of arbitrary order. We apply the obtained results to the problem with two-point nonlocal boundary condition.

引用

页码：308 / 329

页数：22

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