A Nonuniform Nonautonomous Approach to the Jacobian conjecture

Firstly, we introduce a nonuniform and nonautonomous version of the Markus-Yamabe Conjecture and nonautonomous Weak Markus--Yamabe Conjecture. Secondly, we prove that the nonuniform nonautonomous Markus-Yamabe Conjecture implies, after a certain initial time, the Jacobian Conjecture.