Robusteness of discrete nonuniform dichotomic behavior
Dynamical Systems
2013-09-02 v1
Abstract
For nonautonomous linear difference equations in Banach spaces we show that a very general type of dichotomic behavior persists under small enough additive linear perturbations. By using a new approach, we obtain two general robustness theorems that improve several results in the literature and also contain new situations. In particular, unlike several existent results for particular growth rates, we show that, up to a multiplicative constant, the dichotomic behavior for the perturbed equation is the same as the one for the original equation.
Keywords
Cite
@article{arxiv.1308.6820,
title = {Robusteness of discrete nonuniform dichotomic behavior},
author = {António J. G. Bento and César M. Silva},
journal= {arXiv preprint arXiv:1308.6820},
year = {2013}
}
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24 pages