Showing items related by title, author, creator and subject.

• Polynomial and rational first integrals for planar homogeneous polynomial differential systems 

  Giné, Jaume; Grau Montaña, Maite; Llibre, Jaume (Universitat Autònoma de Barcelona, 2014)

  In this paper we find necessary and suficient conditions in order that a planar homogeneous polynomial differential system has a polynomial or rational first integral. We apply these conditions to linear and quadratic ...

• Integrability of planar polynomial differential systems through linear differential equations 

  Giacomini, Héctor; Giné, Jaume; Grau Montaña, Maite (Rocky Mountain Mathematics Consortium, 2006)

  In this work we consider rational ordinary differential equations dy/dx = Q(x, y)/P(x, y), with Q(x, y) and P(x, y) coprime polynomials with real coefficients. We give a method to construct equations of this type for ...

• Analytic integrability of cubic-linear planar polynomial differential systems 

  Giné, Jaume; Valls, Claudia (Elsevier, 2016)

  For the cubic–linear polynomial planar differential systems with a finite singular point, we classify the ones which have a local analytic first integral around the origin and the ones that have a global analytic first integral.