Periodic solutions of second order Hamiltonian systems
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Makhlouf, Ammar (University of Annaba(Algeria). Department of Mathematics)

Date:	2013
Abstract:	We provide sufficient conditions for the existence of periodic solutions of the second order Hamiltonian system −x'' − λx = εV 'x (t, x), where ε is a small parameter, x ∈ R and V (t, x) is 2π-periodic in t. Moreover we provide two applications.
Grants:	Ministerio de Ciencia e Innovación MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Periodic solution ; Second order Hamiltonian system ; Averaging theory
Published in:	Dynamical Systems, Vol. 28 Núm. 2 (2013) , p. 214-221, ISSN 1468-9375

DOI: 10.1080/14689367.2013.781133

Postprint 8 p, 381.8 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
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