Inverse Eigenvalue Problems for Singular Rank One Perturbations of a Sturm-Liouville Operator

This paper is concerned with the inverse eigenvalue problem for singular rank one perturbations of a Sturm-Liouville operator. We determine uniquely the potential function from the spectra of the Sturm-Liouville operator and its rank one perturbations.

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Main Author: Xuewen Wu
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2021/1681873
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author Xuewen Wu
author_facet Xuewen Wu
author_sort Xuewen Wu
collection DOAJ
description This paper is concerned with the inverse eigenvalue problem for singular rank one perturbations of a Sturm-Liouville operator. We determine uniquely the potential function from the spectra of the Sturm-Liouville operator and its rank one perturbations.
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institution Kabale University
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language English
publishDate 2021-01-01
publisher Wiley
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series Advances in Mathematical Physics
spelling doaj-art-2f9c43f1c52447e7b722bc4d3aedbb8c2025-02-03T05:44:10ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/16818731681873Inverse Eigenvalue Problems for Singular Rank One Perturbations of a Sturm-Liouville OperatorXuewen Wu0School of Mathematics and Statistics, Northwestern Polytechnical University, Xi’an 710072, ChinaThis paper is concerned with the inverse eigenvalue problem for singular rank one perturbations of a Sturm-Liouville operator. We determine uniquely the potential function from the spectra of the Sturm-Liouville operator and its rank one perturbations.http://dx.doi.org/10.1155/2021/1681873
spellingShingle Xuewen Wu
Inverse Eigenvalue Problems for Singular Rank One Perturbations of a Sturm-Liouville Operator
Advances in Mathematical Physics
title Inverse Eigenvalue Problems for Singular Rank One Perturbations of a Sturm-Liouville Operator
title_full Inverse Eigenvalue Problems for Singular Rank One Perturbations of a Sturm-Liouville Operator
title_fullStr Inverse Eigenvalue Problems for Singular Rank One Perturbations of a Sturm-Liouville Operator
title_full_unstemmed Inverse Eigenvalue Problems for Singular Rank One Perturbations of a Sturm-Liouville Operator
title_short Inverse Eigenvalue Problems for Singular Rank One Perturbations of a Sturm-Liouville Operator
title_sort inverse eigenvalue problems for singular rank one perturbations of a sturm liouville operator
url http://dx.doi.org/10.1155/2021/1681873
work_keys_str_mv AT xuewenwu inverseeigenvalueproblemsforsingularrankoneperturbationsofasturmliouvilleoperator