Generalized rational first integrals of analytic differential systems
Cong, Wang (Shanghai Jiaotong University. Department of Mathematics)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Zhang, Xiang (Shanghai Jiaotong University. Department of Mathematics)

Date:	2011
Abstract:	In this paper we mainly study the necessary conditions for the existence of functionally independent generalized rational first integrals of ordinary differential systems via the resonances. The main results extend some of the previous related ones, for instance the classical Poincaré's one [16], the Furta's one [8], part of Chen et al's ones [4], and the Shi's one [18]. The key point in the proof of our main results is that functionally independence of generalized rational functions implies the functionally independence of their lowest order rational homogeneous terms.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Note:	Agraïments: The third author is partially supported by NNSF of China grant 10831003 and Shanghai Pujiang Programm 09PJD013.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Differential systems ; Generalized rational first integrals ; Resonance
Published in:	Journal of differential equations, Vol. 251 (2011) , p. 2770-2788, ISSN 1090-2732

DOI: 10.1016/j.jde.2011.05.016

Postprint 22 p, 716.4 KB

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