Periodic solutions for a class of non-autonomous Newton differential equations
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Makhlouf, Ammar (University of Annaba. Department of Mathematics (Algeria))

Date:	2016
Abstract:	We provide sufficient conditions for the existence of periodic solutions of the second-order non-autonomous differential equation x¨=-∇xV(t,x),in R, where V(t,x)=‖x‖22+εW(t,x) with W(t, x) a 2 π-periodic function in the variable t, ε is a small parameter, x∈ R and ∇xV(t,x)=(∂V∂x1,…,∂V∂xn). Note that this is a particular class of non-autonomous Newton differential equations. Moreover we provide some applications.
Grants:	Ministerio de Ciencia e Innovación MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Note:	Altres ajuts: ICREA Academia
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Periodic solution ; Newton differential equation ; Averaging theory
Published in:	Differential Equations and Dynamical Systems, (October 2016) , ISSN 0974-6870

DOI: 10.1007/s12591-016-0333-7

Postprint 6 p, 759.9 KB

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