Work

Inverse Spectral Problem for Sturm-liouville Operator With Both Jump Conditions Dependent on the Spectral Parameter

Year: 2025

Type: article

Abstract: The inverse spectral problem of Sturm-Liouville operator with both of the jump conditions dependent on the spectral parameter is investigated. Firstly, by theoretical operator formulation the self-adjointness of the problem is proven and then some of the eigenvalue properties, especially the asymptotic formulas of eigenvalues and eigenfunctions are given. Finally, the uniqueness theorems of the corresponding inverse problems are given by Weyl function theory and inverse spectral data approach.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240367

Authors: Hui Zhao, Ji-Jun Ao

Institution: Inner Mongolia University of Technology

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Natural Science Foundation of Inner Mongolia

Awards: G1389115691, G4007401360, G7702514093