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 documento: | artigo |
| Data de publicação: | 2022 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositório: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglês |
| OAI Identifier: | oai:ddd.uab.cat:257082 |
| Acesso em linha: | https://ddd.uab.cat/record/257082 https://dx.doi.org/urn:doi:10.1016/j.nonrwa.2021.103441 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Periodic solution Bouncing Singularity Poincaré-Birkhoff theorem |
| Resumo: | 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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