Direct and inverse problems for a third-order self-adjoint differential operator with non-local potential functions
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916617815851008 |
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| author | Liu, Yixuan Zhang, Mingming |
| author_facet | Liu, Yixuan Zhang, Mingming |
| contents | The direct and inverse problems for a third-order self-adjoint differential operator with non-local potential functions are considered. Firstly, the multiplicity for eigenvalues of the operator is analyzed, and it is proved that the differential operator has simple eigenvalues, except for finitely many eigenvalues of multiplicity two or three. Then the expressions of eigenfunctions and resolvent are obtained. Finally, the inverse problem for recovering non-local potential functions is solved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_11498 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Direct and inverse problems for a third-order self-adjoint differential operator with non-local potential functions Liu, Yixuan Zhang, Mingming Classical Analysis and ODEs The direct and inverse problems for a third-order self-adjoint differential operator with non-local potential functions are considered. Firstly, the multiplicity for eigenvalues of the operator is analyzed, and it is proved that the differential operator has simple eigenvalues, except for finitely many eigenvalues of multiplicity two or three. Then the expressions of eigenfunctions and resolvent are obtained. Finally, the inverse problem for recovering non-local potential functions is solved. |
| title | Direct and inverse problems for a third-order self-adjoint differential operator with non-local potential functions |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2502.11498 |