Inverse spectral and inverse nodal problems for energy-dependent Sturm-Liouville equations with delta-interaction

In this article, we study the inverse spectral and inverse nodal problems for energy-dependent Sturm-Liouville equations with delta-interaction. We obtain uniqueness, reconstruction and stability using the nodal set of eigenfunctions for the given problem.

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Bibliographic Details
Published inElectronic journal of differential equations Vol. 2015; no. 26; pp. 1 - 10
Main Authors Manaf Dzh. Manafov, Abdullah Kablan
Format Journal Article
LanguageEnglish
Published Texas State University 28.01.2015
Subjects
Energy-dependent Sturm-Liouville equations
inverse spectral and inverse nodal problems
point delta-interaction
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Summary:In this article, we study the inverse spectral and inverse nodal problems for energy-dependent Sturm-Liouville equations with delta-interaction. We obtain uniqueness, reconstruction and stability using the nodal set of eigenfunctions for the given problem.
ISSN:1072-6691
1072-6691