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Admissibility and nonuniform polynomial dichotomies

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  • D. Dragičević

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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  • D. Dragičević, 2020. "Admissibility and nonuniform polynomial dichotomies," Mathematische Nachrichten, Wiley Blackwell, vol. 293(2), pages 226-243, February.
    • Handle: RePEc:bla:mathna:v:293:y:2020:i:2:p:226-243
    DOI: 10.1002/mana.201800291
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