Canonical forms for boundary conditions of self-adjoint differential operators
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arXiv
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866910400293896192 |
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| author | Hardy, Yorick Zinsou, Bertin |
| author_facet | Hardy, Yorick Zinsou, Bertin |
| contents | Canonical forms of boundary conditions are important in the study of the eigenvalues of boundary conditions and their numerical computations. The known canonical forms for self-adjoint differential operators, with eigenvalue parameter dependent boundary conditions, are limited to 4-th order differential operators. We derive canonical forms for self-adjoint 2n-th order differential operators with eigenvalue parameter dependent boundary conditions. We compare the 4-th order canonical forms to the canonical forms derived in this article. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2109_13379 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Canonical forms for boundary conditions of self-adjoint differential operators Hardy, Yorick Zinsou, Bertin Classical Analysis and ODEs 34B08 Canonical forms of boundary conditions are important in the study of the eigenvalues of boundary conditions and their numerical computations. The known canonical forms for self-adjoint differential operators, with eigenvalue parameter dependent boundary conditions, are limited to 4-th order differential operators. We derive canonical forms for self-adjoint 2n-th order differential operators with eigenvalue parameter dependent boundary conditions. We compare the 4-th order canonical forms to the canonical forms derived in this article. |
| title | Canonical forms for boundary conditions of self-adjoint differential operators |
| topic | Classical Analysis and ODEs 34B08 |
| url | https://arxiv.org/abs/2109.13379 |