Periodic solutions of some classes of continuous second-order differential equations
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Makhlouf, Ammar (University of Annaba (Algèria). Department of Mathematics)

Date:	2017
Abstract:	We study the periodic solutions of the second-order differential equations of the form ẍ ± xn = µf (t), or ẍ ± $n = µf (t), where n = 4, 5, . . . , f (t) is a continuous T -periodic function Z T such that f (t)dt 6= 0, and µ is a positive small parameter. Note that the differential equations ẍ ± xn = µf (t) are only continuous in t and smooth in x, and that the differential equations ẍ ± $n = µf (t) are only continuous in t and locally-Lipschitz in x.
Grants:	Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 Ministerio de Economía y Competitividad MTM2013-40998-P European Commission 316338 European Commission 318999
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Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Averaging theory ; Periodic solution ; Second order differential equations
Published in:	Discrete and continuous dynamical systems. Series B, Vol. 22 Núm. 2 (2017) , p. 477-482, ISSN 1553-524X

DOI: 10.3934/dcdsb.2017022

Postprint 7 p, 266.0 KB

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