Sixth-order Birkhoff regular problems
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911427282862080 |
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| author | Mzobe, Nokukhanya Thandiwe Zinsou, Bertin |
| author_facet | Mzobe, Nokukhanya Thandiwe Zinsou, Bertin |
| contents | Asymptotics of the eigenvalues can always be derived for self-adjoint boundary value problems. However, they can also be derived for boundary value problems that fail to be self-adjoint provided that they are Birkhoff regular. A regular sixth-order differential equation that depends quadratically on the eigenvalue parameter $λ$ is considered with classes of separable boundary conditions independent of $λ$ or depending linearly on $λ$. Conditions are given for the problems to be Birkhoff regular. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_06417 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Sixth-order Birkhoff regular problems Mzobe, Nokukhanya Thandiwe Zinsou, Bertin Spectral Theory Asymptotics of the eigenvalues can always be derived for self-adjoint boundary value problems. However, they can also be derived for boundary value problems that fail to be self-adjoint provided that they are Birkhoff regular. A regular sixth-order differential equation that depends quadratically on the eigenvalue parameter $λ$ is considered with classes of separable boundary conditions independent of $λ$ or depending linearly on $λ$. Conditions are given for the problems to be Birkhoff regular. |
| title | Sixth-order Birkhoff regular problems |
| topic | Spectral Theory |
| url | https://arxiv.org/abs/2602.06417 |