title: A new qualitative proof of a result on the real Jacobian conjecture.
abstract: Let F= (f, g) : R2 → R2 be a polynomial map such that det DF(x) is different from zero for all x ∈ R2. We assume that the degrees of f and g are equal. We denote by f and G the homogeneous part of higher degree of f and g, respectively. In this note we provide a proof relied on qualitative theory of differential equations of the following result: If f and g do not have real linear factors in common, then F is injective.
authors: Departamento de Matemática, Universidade Federal de São Carlos, São Carlos, SP, BR.
authors: Francisco
authors: F
authors: Braun
authors: Departament de Matemàtiques, Universitat Autònoma de Barcelona, Barcelona, Catalonia, ES.
authors: Jaume
authors: J
authors: Llibre