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22 p, 716.4 KB 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)
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]. [...]
2011 - 10.1016/j.jde.2011.05.016
Journal of differential equations, Vol. 251 (2011) , p. 2770-2788  

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