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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.04203 |
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| _version_ | 1866913778358026240 |
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| author | Bondarenko, N. P. Chitorkin, E. E. |
| author_facet | Bondarenko, N. P. Chitorkin, E. E. |
| contents | This paper deals with the Sturm-Liouville problem with singular potential of the Sobolev space $W_2^{-1}$ and polynomials of the spectral parameter in a boundary condition. We prove the uniform boundedness and the uniform stability for the inverse spectral problem in the general non-self-adjoint case. It is remarkable that our stability estimates are valid for some cases with different degrees of the polynomials for two compared operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_04203 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Uniform stability of the inverse Sturm-Liouville problem with polynomials in a boundary condition Bondarenko, N. P. Chitorkin, E. E. Spectral Theory This paper deals with the Sturm-Liouville problem with singular potential of the Sobolev space $W_2^{-1}$ and polynomials of the spectral parameter in a boundary condition. We prove the uniform boundedness and the uniform stability for the inverse spectral problem in the general non-self-adjoint case. It is remarkable that our stability estimates are valid for some cases with different degrees of the polynomials for two compared operators. |
| title | Uniform stability of the inverse Sturm-Liouville problem with polynomials in a boundary condition |
| topic | Spectral Theory |
| url | https://arxiv.org/abs/2504.04203 |