Smoothness of Topological Equivalence on the Half Line for Nonautonomous Systems
Classical Analysis and ODEs
2018-07-03 v2
Abstract
We 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 uniformly continuous homeomorphism inspired in the Palmer's one restricted to the positive half line, providing sufficient conditions ensuring its --smoothness. Additionally, we study the preservation of the uniform stability properties by this homeomorphism.
Keywords
Cite
@article{arxiv.1801.08960,
title = {Smoothness of Topological Equivalence on the Half Line for Nonautonomous Systems},
author = {Álvaro Castañeda and Pablo Monzón and Gonzalo Robledo},
journal= {arXiv preprint arXiv:1801.08960},
year = {2018}
}