Liouvillian first integrals for generalized Liénard polynomial differential systems
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)

Date:	2013
Abstract:	We study the Liouvillian first integrals for the generalized Liénard polynomial differential systems of the form x' = y, y' = −g(x) − f(x)y, where g(x) and f(x) are arbitrary polynomials such that 2 ≤ deg g ≤ deg f.
Grants:	Ministerio de Ciencia e Innovación MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Note:	Agraïments/Ajudes: The second author has been partially supported by FCT through the project PTDC/MAT/117106/2010 and through CAMGD, Lisbon.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Darboux polynomial ; Exponential factor ; Liouvillian first integral ; Generalized Liénard polynomial differential system
Published in:	Advanced Nonlinear Studies, Vol. 13 (2013) , p. 819-829, ISSN 2169-0375

DOI: 10.1515/ans-2013-0404

Postprint 9 p, 757.4 KB

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