Eigenvalues of a third order BVP subject to functional BCs
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915893756297216 |
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| author | Infante, Gennaro Lucisano, Paolo |
| author_facet | Infante, Gennaro Lucisano, Paolo |
| contents | We discuss the existence of eigenvalues for a third order boundary value problem subject to functional boundary conditions and higher order derivative dependence in the nonlinearities. We prove the existence of positive and negative eigenvalues and provide a localization of the corresponding eigenfunctions in terms of their norm. The methodology involves a version of the classical Birkhoff-Kellogg theorem. We illustrate the applicability of the theoretical results in an example. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20985 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Eigenvalues of a third order BVP subject to functional BCs Infante, Gennaro Lucisano, Paolo Classical Analysis and ODEs Primary 34B08, secondary 34B10, 47H30 We discuss the existence of eigenvalues for a third order boundary value problem subject to functional boundary conditions and higher order derivative dependence in the nonlinearities. We prove the existence of positive and negative eigenvalues and provide a localization of the corresponding eigenfunctions in terms of their norm. The methodology involves a version of the classical Birkhoff-Kellogg theorem. We illustrate the applicability of the theoretical results in an example. |
| title | Eigenvalues of a third order BVP subject to functional BCs |
| topic | Classical Analysis and ODEs Primary 34B08, secondary 34B10, 47H30 |
| url | https://arxiv.org/abs/2412.20985 |