Quasiperiodic inverse Sturm-Liouville problem
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866918105634045952 |
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| author | Bondarenko, Natalia P. |
| author_facet | Bondarenko, Natalia P. |
| contents | In this paper, the Sturm-Liouville problem with nonseparated quasiperiodic boundary conditions is considered. We study the recovery of the problem parameters from the Hill-type discriminant, the Dirichlet spectrum, and the sequence of signs. We obtain the necessary and sufficient conditions of solvability, the local solvability and stability, as well as the uniform stability for this inverse spectral problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_20864 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quasiperiodic inverse Sturm-Liouville problem Bondarenko, Natalia P. Spectral Theory 34A55 34B09 34L40 In this paper, the Sturm-Liouville problem with nonseparated quasiperiodic boundary conditions is considered. We study the recovery of the problem parameters from the Hill-type discriminant, the Dirichlet spectrum, and the sequence of signs. We obtain the necessary and sufficient conditions of solvability, the local solvability and stability, as well as the uniform stability for this inverse spectral problem. |
| title | Quasiperiodic inverse Sturm-Liouville problem |
| topic | Spectral Theory 34A55 34B09 34L40 |
| url | https://arxiv.org/abs/2507.20864 |