Averaging theory for discontinuous piecewise differential systems
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Mereu, Ana Cristina (Universidade Federal de Sao Carlos (Brazil). Departamento de Física, Química e Matematica)
Novaes, Douglas D. (Universidade Estadual de Campinas (Brazil). Departamento de Matematica)

Date:	2015
Abstract:	We develop the averaging theory of first and second order for studying the periodic solutions of discontinuous piecewise differential systems in arbitrary dimension and with an arbitrary number of systems with the minimal conditions of differentiability. We also provide two applications.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 316338 European Commission 318999
Note:	Agraïments: The first author is partially supported by FEDER-UNAB10-4E-378. The second author is partially supported by a FAPESP-BRAZIL grant 2012/18780-0 and a CNPq grant 449655/2014-8. The third author is partially supported by a FAPESP-BRAZIL grant 2012/10231-7. The three authors are also supported by a CAPES CSF-PVE grant 88881.030454/2013-01 from the program CSF-PVE.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Discontinuous differential systems ; Nonsmooth dynamical system ; Periodic solutions
Published in:	Journal of differential equations, Vol. 258 (2015) , p. 4007-4032, ISSN 1090-2732

DOI: 10.1016/j.jde.2015.01.022

Postprint 21 p, 834.8 KB

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