On an inverse problem for Sturm-Liouville equation

In this study, the theorem on necessary and sufficient conditions for the solvability of inverse problem for Sturm-Liouville operator with discontinuous coefficient is proved and the algorithm of reconstruction of potential from spectral data (eigenvalues and normalizing numbers) is given.

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Bibliographic Details
Published in:arXiv.org 2016-04
Main Authors: Karahan, Döne, Mamedov, Khanlar R
Format: Article
Language:English
Subjects:
Algorithms
Eigenvalues
Inverse problems
Liouville equations
Normalizing
Online Access:Get full text
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Description
Summary:In this study, the theorem on necessary and sufficient conditions for the solvability of inverse problem for Sturm-Liouville operator with discontinuous coefficient is proved and the algorithm of reconstruction of potential from spectral data (eigenvalues and normalizing numbers) is given.
ISSN:2331-8422