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Inverse eigenvalue problems for rank one perturbations of the Sturm-Liouville operator
- Source :
- Open Mathematics, Vol 20, Iss 1, Pp 1904-1908 (2022)
- Publication Year :
- 2022
- Publisher :
- De Gruyter, 2022.
-
Abstract
- This article is concerned with the inverse eigenvalue problem for rank one perturbations of the Sturm-Liouville operator. I obtain the relationship between the spectra of the Sturm-Liouville operator and its rank one perturbations, and from the spectra I reconstruct the perturbed operators, provided that the potential is known a priori.
Details
- Language :
- English
- ISSN :
- 23915455
- Volume :
- 20
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Open Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.f8411abbf5f94478a233129f42dfdd06
- Document Type :
- article
- Full Text :
- https://doi.org/10.1515/math-2022-0544