Periodic orbits of the fourh-order non-autonomous differential equation u'''' q u'' p u= F(t,u,u',u'',u''')
We provide sufficient conditions for the existence of periodic solutions of the fourth-order differential equation u'''' + qu'' + pu = εF(t, u, u', u'', u'''), where q, p and ε are real parameters, ε is small and F is a nonlinear nonautonom...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2012 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:150514 |
| Acceso en línea: | https://ddd.uab.cat/record/150514 https://dx.doi.org/urn:doi:10.1016/j.amc.2012.06.047 |
| Access Level: | acceso abierto |
| Palabra clave: | Periodic orbit Fourth-order differential equation Averaging theory |
| Sumario: | We provide sufficient conditions for the existence of periodic solutions of the fourth-order differential equation u'''' + qu'' + pu = εF(t, u, u', u'', u'''), where q, p and ε are real parameters, ε is small and F is a nonlinear nonautonomous periodic function with respect to t. Moreover we provide some applications. |
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