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Smoothness of topological equivalence on the half line for nonautonomous systems
Published online by Cambridge University Press: 07 May 2019
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 Cr–smoothness.
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- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 150 , Issue 5 , October 2020 , pp. 2484 - 2502
- Copyright
- Copyright © Royal Society of Edinburgh 2019
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