Periodic bouncing solutions of the Lazer–Solimini equation with weak repulsive singularity
We prove the existence and multiplicity of periodic solutions of bouncing type for a second-order differential equation with a weak repulsive singularity. Such solutions can be cataloged according to the minimal period and the number of elastic collisions with the singularity in each period. The pro...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:10256/20477 |
| Acceso en línea: | http://hdl.handle.net/10256/20477 |
| Access Level: | acceso abierto |
| Palabra clave: | Poincaré-Birkhoff, Teorema de Poincaré-Birkhoff Theorem Equacions diferencials Differential equations Oscil·lacions no lineals Nonlinear oscillations |
| Sumario: | We prove the existence and multiplicity of periodic solutions of bouncing type for a second-order differential equation with a weak repulsive singularity. Such solutions can be cataloged according to the minimal period and the number of elastic collisions with the singularity in each period. The proof relies on the Poincaré–Birkhoff Theorem |
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