Smoothness of topological equivalence on the half line for nonautonomous systems.

Publicado en línea por Cambridge University Press: 07 de mayo de 2019We study the differentiability properties of the topological equivalence between a uniformly asymptotically stable linear nonautonomous system and a perturbed system with suitable nonlinearities. For this purpose, we construct a homeomorphism inspired in the Palmer's one restricted to the positive half line, studying additional continuity properties and providing sufficient conditions ensuring its Cr–smoothness