Zeitschrift für Analysis und ihre Anwendungen


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Volume 37, Issue 1, 2018, pp. 101–126
DOI: 10.4171/ZAA/1605

Published online: 2018-01-08

A Grobman–Hartman Theorem for Differential Equations with Piecewise Constant Arguments of Mixed Type

Manuel Pinto[1] and Gonzalo Robledo[2]

(1) Universidad de Chile, Santiago, Chile
(2) Universidad de Chile, Santiago, Chile

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.

Keywords: Differential equations, piecewise constants arguments, topological equivalence, exponential dichotomy

Pinto Manuel, Robledo Gonzalo: A Grobman–Hartman Theorem for Differential Equations with Piecewise Constant Arguments of Mixed Type. Z. Anal. Anwend. 37 (2018), 101-126. doi: 10.4171/ZAA/1605