Periodic solutions for periodic second-order differential equations with variable potentials
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Makhlouf, Ammar (University of Annaba. Department of Mathematics (Algeria))

Date:	2018
Abstract:	We provide sufficient conditions for the existence of periodic solutions of the second-order differential equation with variable potentials -(px')'(t) - r(t)p(t)x'(t) + q(t)x(t) = f(t, x(t)), where the functions p(t) > 0, q(t), r(t) and f(t, x) are C and T-periodic in the variable t.
Grants:	Ministerio de Ciencia e Innovación MTM2009-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 European Commission 316338 European Commission 318999
Note:	Altres ajuts: ICREA Academia and FEDER-UNAB10-4E-378
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Periodic orbit ; Third-order differential equation ; Quadratic system ; Averaging theory
Published in:	Journal of Applied Analysis, Vol. 24, Issue 2 (December 2018) , p. 127-137, ISSN 1869-6082

DOI: 10.1515/jaa-2018-0013

Postprint 17 p, 727.3 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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