A Grobman–Hartman Theorem for Differential Equations with Piecewise Constant Arguments of Mixed Type
Manuel Pinto
Universidad de Chile, Santiago, ChileGonzalo Robledo
Universidad de Chile, Santiago, Chile
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Abstract
We obtain sufficient conditions for the existence of a uniformly and Hölder continuous homeomorphism between the solutions of a linear differential system with piecewise constant argument of generalized type and the solutions of a perturbed family. The main tool is a recently introduced definition of exponential dichotomy.
Cite this article
Manuel Pinto, Gonzalo Robledo, A Grobman–Hartman Theorem for Differential Equations with Piecewise Constant Arguments of Mixed Type. Z. Anal. Anwend. 37 (2018), no. 1, pp. 101–126
DOI 10.4171/ZAA/1605