On the periodic orbits of the fourth-order differential equation u' ' ' ' qu' '−u= F (u,u',u' ',u' ' ')
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Teixeira, Marco Antonio (Universidade Estadual de Campinas(Brazil). Departamento de Matemática)

Date:	2012
Abstract:	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.
Grants:	Ministerio de Ciencia e Innovación MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Note:	Agraïments: The second author is partially supported by a FAPESP-BRAZIL grant 2007/06896-5. Both authors are supported by the joint project CAPES-MEC grant PHB2009-0025-PC.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Periodic orbit ; Fourth-order differential equation ; Averaging theory
Published in:	Journal of mathematical analysis and applications, Vol. 387 (2012) , p. 181-188, ISSN 1096-0813

DOI: 10.1016/j.jmaa.2011.08.076

Postprint 10 p, 716.5 KB

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