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arXiv · 2203.12567

Linearization for difference equations with infinite delay

Lokesh Singh
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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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Lokesh Singh. 2022-03-23. Linearization for difference equations with infinite delay. https://arxiv.org/abs/2203.12567

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