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.
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页数：10
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