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Zhang, L.F., Ao, J.J. and Zhang, N. (2024) Eigenvalue Properties of Sturm-Liouville Problems with Transmission Conditions Dependent on the Eigenparameter. Electronic Research Archive, 32, 1844-1863.
https://doi.org/10.3934/era.2024084

has been cited by the following article:

• 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.