Dependence of Eigenvalues of Sturm–Liouville Problems with Eigenparameter-Dependent Boundary Conditions and Interface Conditions

被引：0

作者：

Hai-Yan Zhang

Ji-jun Ao

Meng-lei Li

机构：

[1] Inner Mongolia University of Technology,College of Sciences

来源：

Mediterranean Journal of Mathematics | 2022年 / 19卷

关键词：

Sturm–Liouville problems; differential expressions; eigenparameter-dependent boundary conditions; interface conditions; eigenvalues; Primary 34L05; 34B20; Secondary 34B08;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, regular Sturm–Liouville problems with eigenparameter-dependent boundary conditions and interface 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, the interface conditions, as well as the endpoints. Moreover, we find the differential expressions for each parameters, respectively.

引用

共 50 条

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