Jaume Llibre, Amar Makhlouf
Abstract:
We provide sufficient conditions for the existence of periodic
solutions of the fourth-order differential equation
where
,
and
are real parameters,
is small and F is a nonlinear function.
Submitted October 12, 2011. Published February 7, 2012.
Math Subject Classifications: 37G15, 37C80, 37C30.
Key Words: Periodic orbit; fourth-order differential equation;
averaging theory.
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Jaume Llibre Departament de Matematiques Universitat Autonoma de Barcelona 08193 Bellaterra, Barcelona, Catalonia, Spain email: jllibre@mat.uab.cat | |
Amar Makhlouf Department of Mathematics, University of Annaba BP 12, Annaba, Algeria email: makhloufamar@yahoo.fr |
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