Admissibility and nonuniform polynomial dichotomies

D. Dragičević

Mathematische Nachrichten, 2020, vol. 293, issue 2, 226-243

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.

Date: 2020
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https://doi.org/10.1002/mana.201800291

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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:293:y:2020:i:2:p:226-243

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