- Published 2009

We give new and very general characterizations for uniform exponential dichotomy of variational difference equations in terms of the admissibility of pairs of sequence spaces over N with respect to an associated control system. We establish in the variational case the connections between the admissibility of certain pairs of sequence spaces over N and the admissibility of the corresponding pairs of sequence spaces over Z. We apply our results to the study of the existence of exponential dichotomy of linear skew-product flows.

@inproceedings{Sasu2009OnDB,
title={On Dichotomous Behavior of Variational Difference Equations and Applications},
author={Bogdan Sasu and Guang Zhang},
year={2009}
}