A Uniqueness Theorem for Bessel Operator from Interior Spectral Data

Inverse problem for the Bessel operator is studied. A set of values of eigenfunctions at some internal point and parts of two spectra are taken as data. Uniqueness theorems are obtained. The approach that was used in investigation of problems with partially known potential is employed.

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Main Authors: Murat Sat, Etibar S. Panakhov
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/713654
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author Murat Sat
Etibar S. Panakhov
author_facet Murat Sat
Etibar S. Panakhov
author_sort Murat Sat
collection DOAJ
description Inverse problem for the Bessel operator is studied. A set of values of eigenfunctions at some internal point and parts of two spectra are taken as data. Uniqueness theorems are obtained. The approach that was used in investigation of problems with partially known potential is employed.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-7efeda8dfc1a414297b91d96541d0bf82025-08-20T03:35:40ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/713654713654A Uniqueness Theorem for Bessel Operator from Interior Spectral DataMurat Sat0Etibar S. Panakhov1Department of Mathematics, Faculty of Science and Art, Erzincan University, 24100 Erzincan, TurkeyDepartment of Mathematics, Faculty of Science, Firat University, 23119 Elazig, TurkeyInverse problem for the Bessel operator is studied. A set of values of eigenfunctions at some internal point and parts of two spectra are taken as data. Uniqueness theorems are obtained. The approach that was used in investigation of problems with partially known potential is employed.http://dx.doi.org/10.1155/2013/713654
spellingShingle Murat Sat
Etibar S. Panakhov
A Uniqueness Theorem for Bessel Operator from Interior Spectral Data
Abstract and Applied Analysis
title A Uniqueness Theorem for Bessel Operator from Interior Spectral Data
title_full A Uniqueness Theorem for Bessel Operator from Interior Spectral Data
title_fullStr A Uniqueness Theorem for Bessel Operator from Interior Spectral Data
title_full_unstemmed A Uniqueness Theorem for Bessel Operator from Interior Spectral Data
title_short A Uniqueness Theorem for Bessel Operator from Interior Spectral Data
title_sort uniqueness theorem for bessel operator from interior spectral data
url http://dx.doi.org/10.1155/2013/713654
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