Zeitschrift für Analysis und ihre Anwendungen
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Published online: 2018-01-08
A Grobman–Hartman Theorem for Differential Equations with Piecewise Constant Arguments of Mixed TypeManuel Pinto and Gonzalo Robledo (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