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.

Bibliographic Details
Main Author: Xuewen Wu
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2021/1681873
id doaj-2f9c43f1c52447e7b722bc4d3aedbb8c
record_format Article
spelling doaj-2f9c43f1c52447e7b722bc4d3aedbb8c2021-08-16T00:00:25ZengHindawi LimitedAdvances in Mathematical Physics1687-91392021-01-01202110.1155/2021/1681873Inverse Eigenvalue Problems for Singular Rank One Perturbations of a Sturm-Liouville OperatorXuewen Wu0School of Mathematics and StatisticsThis 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
collection DOAJ
language English
format Article
sources DOAJ
author Xuewen Wu
spellingShingle Xuewen Wu
Inverse Eigenvalue Problems for Singular Rank One Perturbations of a Sturm-Liouville Operator
Advances in Mathematical Physics
author_facet Xuewen Wu
author_sort Xuewen Wu
title 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_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_sort inverse eigenvalue problems for singular rank one perturbations of a sturm-liouville operator
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9139
publishDate 2021-01-01
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.
url http://dx.doi.org/10.1155/2021/1681873
work_keys_str_mv AT xuewenwu inverseeigenvalueproblemsforsingularrankoneperturbationsofasturmliouvilleoperator
_version_ 1721206178843721728