Per citar aquest document: http://ddd.uab.cat/record/150420
Scopus: 8 cites, Web of Science: 7 cites,
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)

Data: 2011
Resum: 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.
Drets: Tots els drets reservats.
Llengua: Anglès
Document: article ; recerca ; preprint
Matèria: Differential systems ; Generalized rational first integrals ; Resonance
Publicat a: Journal of Differential Equations, Vol. 251 (2011) , p. 2770-2788, ISSN 0022-0396

DOI: 10.1016/j.jde.2011.05.016


22 p, 716.4 KB

El registre apareix a les col·leccions:
Documents de recerca > Documents dels grups de recerca de la UAB > Centres i grups de recerca (producció científica) > Ciències > GSD (Grup de sistemes dinàmics)
Articles > Articles de recerca
Articles > Articles publicats

 Registre creat el 2016-05-06, darrera modificació el 2017-01-23



   Favorit i Compartir