Inverse spectral problems for Sturm-Liouville operators with many frozen arguments

This study is devoted to the inverse spectral problems of the Sturm-Liouville operator with many frozen arguments. Under certain assumptions, the authors obtained the uniqueness theorems for recovering the operator from one spectrum. Finally, a numerical simulation of the inverse problem is given.

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Bibliographic Details
Published in:Applied mathematics and computation 2025-05, Vol.492, p.129235, Article 129235
Main Authors: Shieh, Chung-Tsun, Tsai, Tzong-Mo
Format: Article
Language:English
Subjects:
Eigenvalues
Frozen argument
Inverse spectral problem
Loaded differential equation
Sturm-Liouville equation
Citations: Items that this one cites
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Description
Summary:This study is devoted to the inverse spectral problems of the Sturm-Liouville operator with many frozen arguments. Under certain assumptions, the authors obtained the uniqueness theorems for recovering the operator from one spectrum. Finally, a numerical simulation of the inverse problem is given.
ISSN:0096-3003
DOI:10.1016/j.amc.2024.129235