Periodic solutions of continuous third-order differential equations with piecewise polynomial nonlinearities
We consider third-order autonomous continuous piecewise differential equations in the variable x. For such differential equations with nonlinearities of the form xm, we investigate their periodic solutions using the averaging theory. We remark that since the differential system is only continuous we...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:236654 |
| Acceso en línea: | https://ddd.uab.cat/record/236654 https://dx.doi.org/urn:doi:10.1142/S0218127420501588 |
| Access Level: | acceso abierto |
| Palabra clave: | Third-order differential equations Piecewise differential equations Periodic orbit Averaging theory |
| Sumario: | We consider third-order autonomous continuous piecewise differential equations in the variable x. For such differential equations with nonlinearities of the form xm, we investigate their periodic solutions using the averaging theory. We remark that since the differential system is only continuous we cannot apply to it the classical averaging theory, that needs that the differential system be at least of class C2. |
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