Dependence of eigenvalues of Sturm-Liouville problems on time scales with eigenparameter-dependent boundary conditions
- Resource Type
- article
- Authors
- Li Meng-lei; Ao Ji-jun; Zhang Hai-yan
- Source
- Open Mathematics, Vol 20, Iss 1, Pp 1215-1228 (2022)
- Subject
- sturm-liouville problems
time scales
derivative formulas
eigenparameter-dependent boundary
34b08
34n99
34l05
Mathematics
QA1-939
- Language
- English
- ISSN
- 2391-5455
In this article, we study the eigenvalue dependence of Sturm-Liouville problems on time scales with spectral parameter in the boundary conditions. We obtain that the eigenvalues not only continuously but also smoothly depend on the parameters of the problem. Moreover, the differential expressions of the eigenvalues with respect to the data are given.