Linearization for difference equations with infinite delay
Dynamical Systems
2022-03-24 v1
Abstract
In this article, we construct a conjugacy map for a linear difference equation with infinite delay and corresponding nonlinear perturbation. We also prove that the conjugacy map is one-one with some additional conditions. As an application of our result, we show that the cases of (uniform) exponential dichotomy follow from our result.
Keywords
Cite
@article{arxiv.2203.12567,
title = {Linearization for difference equations with infinite delay},
author = {Lokesh Singh},
journal= {arXiv preprint arXiv:2203.12567},
year = {2022}
}