Uniform stability for the matrix inverse Sturm-Liouville problems
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914330221477888 |
|---|---|
| author | Bondarenko, Natalia P. |
| author_facet | Bondarenko, Natalia P. |
| contents | In this paper, the uniform stability of the inverse spectral problem is proved for the matrix Sturm-Liouville operator on a finite interval. Namely, we describe the sets of spectral data, on which the inverse spectral mapping is bounded and, consequently, the uniform estimates hold for the differences of the matrix potentials and of the corresponding coefficients of the boundary conditions. Our approach is based on a constructive procedure for solving the inverse problem by developing ideas of the method of spectral mappings. In addition, we apply our technique to obtain the uniform stability of the inverse Sturm-Liouville problem on the star-shaped graph. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_15300 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Uniform stability for the matrix inverse Sturm-Liouville problems Bondarenko, Natalia P. Spectral Theory 34A55 34B09 34B45 34L40 In this paper, the uniform stability of the inverse spectral problem is proved for the matrix Sturm-Liouville operator on a finite interval. Namely, we describe the sets of spectral data, on which the inverse spectral mapping is bounded and, consequently, the uniform estimates hold for the differences of the matrix potentials and of the corresponding coefficients of the boundary conditions. Our approach is based on a constructive procedure for solving the inverse problem by developing ideas of the method of spectral mappings. In addition, we apply our technique to obtain the uniform stability of the inverse Sturm-Liouville problem on the star-shaped graph. |
| title | Uniform stability for the matrix inverse Sturm-Liouville problems |
| topic | Spectral Theory 34A55 34B09 34B45 34L40 |
| url | https://arxiv.org/abs/2506.15300 |