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arXiv · 2001.11864

Topological Equivalence of nonautonomous difference equations with a family of dichotomies on the half line

Álvaro Castañeda·Pablo González·Gonzalo Robledo
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Abstract

A linear system of difference equations and a nonlinear perturbation are considered, we obtain sufficient conditions to ensure the topological equivalence between them, namely, the linear part satisfies a property of dichotomy on the positive half--line while the nonlinearity has some boundedness and Lipschitzness conditions. As a consequence, we study the asymptotical stability and its preservation by topological equivalence.

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Álvaro Castañeda, Pablo González, Gonzalo Robledo. 2020-01-31. Topological Equivalence of nonautonomous difference equations with a family of dichotomies on the half line. https://arxiv.org/abs/2001.11864

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