Smoothness of topological equivalence on the half line for nonautonomous systems-Reference-Cited by-同舟云学术

Smoothness of topological equivalence on the half line for nonautonomous systems

Published:2019-05-07 Issue:5 Volume:150 Page:2484-2502
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Castañeda Álvaro,Robledo Gonzalo,Monzón Pablo

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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