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arXiv · 1808.02126

Admissibility and nonuniform polynomial dichotomies

Davor Dragicevic
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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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Davor Dragicevic. 2018-08-06. Admissibility and nonuniform polynomial dichotomies. https://arxiv.org/abs/1808.02126

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