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9 p, 736.5 KB Liouvillian first integrals for generalized Riccati polynomial differential systems / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)
We study the existence and non-existence of Liouvillian first integrals for the generalized Riccati polynomial differential systems of the form x'=y, y'= a(x)y^2 b(x)y c(x), where a(x), b(x) and c(x) are polynomials.
2015 - 10.1515/ans-2015-0411
Advanced Nonlinear Studies, Vol. 15 (2015) , p. 951-961  
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