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;
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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.
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