Eigenvalues of Sturm-Liouville problems with distributional potentials and eigenparameter-dependent boundary conditions

被引：2
|
作者：
Ao, Ji-Jun [1 ]
Li, Meng-Lei [1 ]
Zhang, Hai-Yan [1 ]
机构：
[1] Inner Mongolia Univ Technol, Coll Sci, Hohhot 010051, Peoples R China
来源：
QUAESTIONES MATHEMATICAE | 2023年 / 46卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Primary; Secondary; Sturm-Liouville problems; distributional potentials; eigenparameter-dependent boundary conditions; eigenvalues; N-TH EIGENVALUE; PARAMETER; OPERATORS; EQUATIONS;
D O I：
10.2989/16073606.2022.2033337
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, regular Sturm-Liouville problems with distributional potentials and eigenparameter-dependent boundary conditions are investigated. We obtain that the eigenvalues of the problems depend not only continuously but also smoothly on the parameters of the problem: the coefficients, the boundary conditions, and the endpoints, in particular, the eigenparameter-dependent boundary condition matrix. Moreover, we find the differential expressions for each parameters.
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页码：445 / 464
页数：20
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