On the periodic orbits of the fourth-order differential equation u' ' ' ' qu' '-u= F (u,u',u' ',u' ' ')
We provide sufficient conditions for the existence of periodic solutions of the fourth-order differential equation u'''' + qu'' - u = εF(u, u', u'', u'''), where q and ε are real parameters, ε is small and F is a nonlinear function.
| Authors: | , |
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| Format: | article |
| Publication Date: | 2012 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:150556 |
| Online Access: | https://ddd.uab.cat/record/150556 https://dx.doi.org/urn:doi:10.1016/j.jmaa.2011.08.076 |
| Access Level: | Open access |
| Keyword: | Periodic orbit Fourth-order differential equation Averaging theory |
| Summary: | We provide sufficient conditions for the existence of periodic solutions of the fourth-order differential equation u'''' + qu'' - u = εF(u, u', u'', u'''), where q and ε are real parameters, ε is small and F is a nonlinear function. |
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