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.
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页码：308 / 329
页数：22
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