TITLE:
Inverse Spectral Problem for Sturm-Liouville Operator with Boundary and Jump Conditions Dependent on the Spectral Parameter
AUTHORS:
Hui Zhao, Jijun Ao
KEYWORDS:
Inverse Problem, Sturm-Liouville Operator, Weyl Function, Eigenparameter-Dependent Jump Conditions
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.3,
March
29,
2024
ABSTRACT: In this paper, the inverse spectral problem of Sturm-Liouville operator with boundary conditions and jump conditions dependent on the spectral parameter is investigated. Firstly, the self-adjointness of the problem and the eigenvalue properties are given, then the asymptotic formulas of eigenvalues and eigenfunctions are presented. Finally, the uniqueness theorems of the corresponding inverse problems are given by Weyl function theory and inverse spectral data approach.