Canonical forms for boundary conditions of self-adjoint odd-order differential operators
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866908851798802432 |
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| author | Hardy, Yorick Zinsou, Bertin |
| author_facet | Hardy, Yorick Zinsou, Bertin |
| contents | It is useful to have canonical forms of boundary conditions in the study of the eigenvalues of boundary value problems and associated numerical applications. In [J. Appl. Anal. Comput., 2024, 14(4), {1854--1868}], a canonical form is given for self-adjoint differential operators of even order, with eigenvalue parameter dependent boundary conditions. In this article, we derive canonical forms for the remaining case, namely: for self-adjoint $(2n+1)$-th order differential operators with eigenvalue parameter dependent boundary conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_21234 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Canonical forms for boundary conditions of self-adjoint odd-order differential operators Hardy, Yorick Zinsou, Bertin Spectral Theory Classical Analysis and ODEs 34B08 (Primary) 34B09, 15A21, 15B57 (Secondary) It is useful to have canonical forms of boundary conditions in the study of the eigenvalues of boundary value problems and associated numerical applications. In [J. Appl. Anal. Comput., 2024, 14(4), {1854--1868}], a canonical form is given for self-adjoint differential operators of even order, with eigenvalue parameter dependent boundary conditions. In this article, we derive canonical forms for the remaining case, namely: for self-adjoint $(2n+1)$-th order differential operators with eigenvalue parameter dependent boundary conditions. |
| title | Canonical forms for boundary conditions of self-adjoint odd-order differential operators |
| topic | Spectral Theory Classical Analysis and ODEs 34B08 (Primary) 34B09, 15A21, 15B57 (Secondary) |
| url | https://arxiv.org/abs/2602.21234 |