On the solvability of a parameter-dependent cantilever-type BVP
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arXiv
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866929237267578880 |
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| author | Infante, Gennaro |
| author_facet | Infante, Gennaro |
| contents | We discuss the solvability of a parameter dependent cantilever-type boundary value problem. We provide an existence and localization result for the positive solutions via a Birkhoff-Kellogg type theorem. We also obtain, under additional growth conditions, upper and lower bounds for the involved parameters. An example is presented in order to illustrate the theoretical results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_07891 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the solvability of a parameter-dependent cantilever-type BVP Infante, Gennaro Classical Analysis and ODEs Primary 34B08, secondary 34B10, 34B18, 47H30 We discuss the solvability of a parameter dependent cantilever-type boundary value problem. We provide an existence and localization result for the positive solutions via a Birkhoff-Kellogg type theorem. We also obtain, under additional growth conditions, upper and lower bounds for the involved parameters. An example is presented in order to illustrate the theoretical results. |
| title | On the solvability of a parameter-dependent cantilever-type BVP |
| topic | Classical Analysis and ODEs Primary 34B08, secondary 34B10, 34B18, 47H30 |
| url | https://arxiv.org/abs/2203.07891 |