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Linearization for difference equations with infinite delay
Published 23 Mar 2022 in math.DS | (2203.12567v1)
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.
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