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

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...

Full description

Saved in:
Bibliographic Details
Published in:Mediterranean journal of mathematics 2022-04, Vol.19 (2), Article 90
Main Authors: Zhang, Hai-Yan, Ao, Ji-jun, Li, Meng-lei
Format: Article
Language:English
Subjects:
Boundary conditions
Eigenvalues
Mathematics
Mathematics and Statistics
Parameters
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-021-01943-x