Partial Inverse Spectral Problems for Sturm-Liouville Operators with Frozen Arguments on a Star-Shaped Graph
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915358748704768 |
|---|---|
| author | Shieh, Chung-Tsun Tsai, Tzong-Mo Wu, Meng-Nien |
| author_facet | Shieh, Chung-Tsun Tsai, Tzong-Mo Wu, Meng-Nien |
| contents | This paper is devoted to the study of a partial inverse spectral problem for Sturm-Liouville operators with frozen arguments on a star-shaped graph. The potentials are assumed to be known a priori on all edges except one, and the objective is to reconstruct the unknown potential on the remaining edge using a subset of the spectral data. A constructive algorithm for solving this problem is presented, which relies on the Riesz basis property of a system of vector functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_20569 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Partial Inverse Spectral Problems for Sturm-Liouville Operators with Frozen Arguments on a Star-Shaped Graph Shieh, Chung-Tsun Tsai, Tzong-Mo Wu, Meng-Nien Spectral Theory 34A55, 34K29, 34B45, 65L03 This paper is devoted to the study of a partial inverse spectral problem for Sturm-Liouville operators with frozen arguments on a star-shaped graph. The potentials are assumed to be known a priori on all edges except one, and the objective is to reconstruct the unknown potential on the remaining edge using a subset of the spectral data. A constructive algorithm for solving this problem is presented, which relies on the Riesz basis property of a system of vector functions. |
| title | Partial Inverse Spectral Problems for Sturm-Liouville Operators with Frozen Arguments on a Star-Shaped Graph |
| topic | Spectral Theory 34A55, 34K29, 34B45, 65L03 |
| url | https://arxiv.org/abs/2506.20569 |