Inverse nodal problems for Dirac differential operators with jump condition
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866915181182844928 |
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| author | Keskin, Baki |
| author_facet | Keskin, Baki |
| contents | This paper deals with an inverse nodal problem for the Dirac differential operator with the discontinuity conditions inside the interval. We obtain a new approach for asymptotic expressions of the solutions and prove that the coefficients of the Dirac system can be determined uniquely by a dense subset of the nodal points (zeros of the first component of the eigenfunction). We also provide an algorithm for constructing the solution of this inverse nodal problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_01403 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Inverse nodal problems for Dirac differential operators with jump condition Keskin, Baki Analysis of PDEs Spectral Theory 34A55, 34L40, 34L05, 34K29, 34K10 This paper deals with an inverse nodal problem for the Dirac differential operator with the discontinuity conditions inside the interval. We obtain a new approach for asymptotic expressions of the solutions and prove that the coefficients of the Dirac system can be determined uniquely by a dense subset of the nodal points (zeros of the first component of the eigenfunction). We also provide an algorithm for constructing the solution of this inverse nodal problem. |
| title | Inverse nodal problems for Dirac differential operators with jump condition |
| topic | Analysis of PDEs Spectral Theory 34A55, 34L40, 34L05, 34K29, 34K10 |
| url | https://arxiv.org/abs/2503.01403 |