On the variety of solutions of 1-dimensional nonlinear eigenvalue problems
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916683367579648 |
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| author | Bandle, Catherine Stingelin, Simon Wagner, Alfred |
| author_facet | Bandle, Catherine Stingelin, Simon Wagner, Alfred |
| contents | Second order nonlinear eigenvalue problems are considered for which the spectrum is an interval. The boundary conditions are of Robin and Dirichlet type. The shape and the number of solutions are discussed by means of a phase plane analysis. A new type of asymmetric solutions are discovered. Some numerical illustrations are given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_07548 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the variety of solutions of 1-dimensional nonlinear eigenvalue problems Bandle, Catherine Stingelin, Simon Wagner, Alfred Dynamical Systems Second order nonlinear eigenvalue problems are considered for which the spectrum is an interval. The boundary conditions are of Robin and Dirichlet type. The shape and the number of solutions are discussed by means of a phase plane analysis. A new type of asymmetric solutions are discovered. Some numerical illustrations are given. |
| title | On the variety of solutions of 1-dimensional nonlinear eigenvalue problems |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2504.07548 |