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Smoothness of topological equivalence on the half line for nonautonomous systems
Álvaro Castañeda, Gonzalo Robledo, Pablo Monzón
Source abstract
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 homeomorphism inspired in the Palmer's one restricted to the positive half line, studying additional continuity properties and providing sufficient conditions ensuring its C r –smoothness.
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