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

  • Manuel Pinto

    Universidad de Chile, Santiago, Chile
  • Gonzalo Robledo

    Universidad de Chile, Santiago, Chile

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