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.

Bibliographic Details
Main Authors:	Manaf Dzh. Manafov, Abdullah Kablan
Format:	Article
Language:	English
Published:	Texas State University 2015-01-01
Series:	Electronic Journal of Differential Equations
Subjects:	Energy-dependent Sturm-Liouville equations inverse spectral and inverse nodal problems point delta-interaction
Online Access:	http://ejde.math.txstate.edu/Volumes/2015/26/abstr.html

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spelling	doaj-581a72939c124d1d9fc1fcef813a6a2d2020-11-24T22:57:41ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-01-01201526,110Inverse spectral and inverse nodal problems for energy-dependent Sturm-Liouville equations with delta-interactionManaf Dzh. Manafov0Abdullah Kablan1 Adiyaman University, Adiyaman, Turkey Gaziantep University, Gaziantep, Turkey 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.http://ejde.math.txstate.edu/Volumes/2015/26/abstr.htmlEnergy-dependent Sturm-Liouville equationsinverse spectral and inverse nodal problemspoint delta-interaction
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Manaf Dzh. Manafov Abdullah Kablan
spellingShingle	Manaf Dzh. Manafov Abdullah Kablan Inverse spectral and inverse nodal problems for energy-dependent Sturm-Liouville equations with delta-interaction Electronic Journal of Differential Equations Energy-dependent Sturm-Liouville equations inverse spectral and inverse nodal problems point delta-interaction
author_facet	Manaf Dzh. Manafov Abdullah Kablan
author_sort	Manaf Dzh. Manafov
title	Inverse spectral and inverse nodal problems for energy-dependent Sturm-Liouville equations with delta-interaction
title_short	Inverse spectral and inverse nodal problems for energy-dependent Sturm-Liouville equations with delta-interaction
title_full	Inverse spectral and inverse nodal problems for energy-dependent Sturm-Liouville equations with delta-interaction
title_fullStr	Inverse spectral and inverse nodal problems for energy-dependent Sturm-Liouville equations with delta-interaction
title_full_unstemmed	Inverse spectral and inverse nodal problems for energy-dependent Sturm-Liouville equations with delta-interaction
title_sort	inverse spectral and inverse nodal problems for energy-dependent sturm-liouville equations with delta-interaction
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2015-01-01
description	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.
topic	Energy-dependent Sturm-Liouville equations inverse spectral and inverse nodal problems point delta-interaction
url	http://ejde.math.txstate.edu/Volumes/2015/26/abstr.html
work_keys_str_mv	AT manafdzhmanafov inversespectralandinversenodalproblemsforenergydependentsturmliouvilleequationswithdeltainteraction AT abdullahkablan inversespectralandinversenodalproblemsforenergydependentsturmliouvilleequationswithdeltainteraction
_version_	1725649773632946176

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

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