The non-linear sewing lemma II: Lipschitz continuous formulation

We give an unified framework to solve rough differential equations. Based on flows, our approach unifies the former ones developed by Davie, Friz-Victoir and Bailleul. The main idea is build a flow from iterated product of almost which can be viewed as good approximation solution at small time. In this second article, we tractable conditions under limit Lipschitz continuous its links with uniqueness solutions also perturbation formulas flows link constructions.