A class of higher order inverse spectral problems
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913246677565440 |
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| author | Guan, Ai-Wei Yang, Chuan-Fu Bondarenko, Natalia P. |
| author_facet | Guan, Ai-Wei Yang, Chuan-Fu Bondarenko, Natalia P. |
| contents | In this paper, we consider the recovery of third-order differential operators from two spectra, as well as fourth-order or fifth-order differential operators from three spectra, where these differential operators are endowed with complex-valued distributional coefficients. For the case of multiple spectra, we first establish the relationship between spectra and the Weyl-Yurko matrix. Secondly, we prove the uniqueness theorem for the solution of the inverse problems. Our approach allows us to obtain results for the general case of complex-valued distributional coefficients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_18343 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A class of higher order inverse spectral problems Guan, Ai-Wei Yang, Chuan-Fu Bondarenko, Natalia P. Spectral Theory In this paper, we consider the recovery of third-order differential operators from two spectra, as well as fourth-order or fifth-order differential operators from three spectra, where these differential operators are endowed with complex-valued distributional coefficients. For the case of multiple spectra, we first establish the relationship between spectra and the Weyl-Yurko matrix. Secondly, we prove the uniqueness theorem for the solution of the inverse problems. Our approach allows us to obtain results for the general case of complex-valued distributional coefficients. |
| title | A class of higher order inverse spectral problems |
| topic | Spectral Theory |
| url | https://arxiv.org/abs/2402.18343 |