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Admissibility and nonuniform polynomial dichotomies
Published 6 Aug 2018 in math.DS and math.CA | (1808.02126v2)
Abstract: For a general one-sided nonautonomous dynamics defined by a sequence of linear operators, we consider the notion of a polynomial dichotomy with respect to a sequence of norms and we characterize it completely in terms of the admissibility of bounded solutions. As a nontrivial application, we establish the robustness of the notion of a nonuniform polynomial dichotomy.
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