We obtain sufficient conditions for the existence of a uniformly and Hölder continuous
homeomorphism between the solutions of a linear differential system with piecewise …

We construct a bijection between the solutions of a linear system of nonautonomous
difference equations which is uniformly asymptotically stable and its unbounded …

A linear system of difference equations and a nonlinear perturbation are considered, we
obtain sufficient conditions to ensure the topological equivalence between them, namely, the …

The differential equations with piecewise constant argument (DEPCAs, for short) is a class of
hybrid dynamical systems (combining continuous and discrete). In this paper, under the …

Palmer's linearization theorem states that a hyperbolic linear system is topologically
conjugated to its bounded perturbation. Recently, Huerta (DCDS 2020 [8]), Castañeda and …

In this work, we give a version of Grobman–Hartman theorem for the nonautonomous
differential equations with piecewise constant argument of generalized type when the …

The concept of generalized exponential trichotomy for linear timevarying systems is
investigated in relationship with the classical notion of uniform exponential trichotomy. Some …

This note focuses on the problem of generalized exponential stability for linear time-varying
discrete-time systems in Banach spaces. Characterizations for this concept are presented …

In this paper, we study the global topological linearization of a differential equation with
piecewise constant argument of generalized type (DEPCAG) when the nonlinear term is …

In this note we address two trichotomy concepts for discrete-time linear time-varying
systems. We extend the notion of exponential trichotomy in the sense of Elaydi-Janglajew to …