Sturm-Liouville problems on graphs with Robin boundary conditions
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915800209686528 |
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| author | Latushkin, Yuri Pivovarchik, Vyacheslav Supranovych, Alesia |
| author_facet | Latushkin, Yuri Pivovarchik, Vyacheslav Supranovych, Alesia |
| contents | We study characteristic functions and describe asymptotics of the eigenvalues for the spectral Sturm-Liouville problem on graphs equipped with Robin-Kirhhoff boundary conditions. Also, we show how to recover the coefficients in the Robin conditions for the quantum graphs provided the shape of the graphs and some Robin eigenvalues are known. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_23392 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sturm-Liouville problems on graphs with Robin boundary conditions Latushkin, Yuri Pivovarchik, Vyacheslav Supranovych, Alesia Spectral Theory Mathematical Physics We study characteristic functions and describe asymptotics of the eigenvalues for the spectral Sturm-Liouville problem on graphs equipped with Robin-Kirhhoff boundary conditions. Also, we show how to recover the coefficients in the Robin conditions for the quantum graphs provided the shape of the graphs and some Robin eigenvalues are known. |
| title | Sturm-Liouville problems on graphs with Robin boundary conditions |
| topic | Spectral Theory Mathematical Physics |
| url | https://arxiv.org/abs/2510.23392 |