Dependence of eigenvalues of Sturm-Liouville problems with eigenparameter dependent boundary conditions

被引：27

作者：

Zhang, Maozhu ^{[1
]}

Li, Kun ^{[2
]}

机构：

[1] Taishan Univ, Coll Math & Stat, Tai An 271000, Shandong, Peoples R China

[2] Qufu Normal Univ, Sch Math Sci, Qufu 273100, Shandong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2020年 / 378卷

基金：

中国博士后科学基金;

关键词：

Sturm-Liouville problems; Eigenparameter dependent boundary conditions; Eigenvalues; Dependence; PARAMETER;

D O I：

10.1016/j.amc.2020.125214

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with regular Sturm-Liouville problems with eigenparameter dependent boundary conditions. We obtain that the eigenvalues are not only continuously but also smoothly dependent on the parameters of the problem, in particular, eigenparameter- dependent boundary condition matrix. Moreover the differential expression of the eigenvalues with respect to the data is given. The dependence of the nth eigenvalue as a function of the parameters of the problem is also investigated by Prufer transformation and the inequalities of eigenvalues. (c) 2020 Elsevier Inc. All rights reserved.

引用

页数：10

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