Admissibility for Nonuniform (μ, ν) Contraction and Dichotomy

Yongxin Jiang and Fang-fang Liao

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: The relation between the notions of nonuniform asymptotic stability and admissibility is considered. Using appropriate Lyapunov norms, it is showed that if any of their associated ℒp spaces, with p ∈ (1, ∞], is admissible for a given evolution process, then this process is a nonuniform (μ, ν) contraction and dichotomy. A collection of admissible Banach spaces for any given nonuniform (μ, ν) contraction and dichotomy is provided.

Date: 2012
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https://doi.org/10.1155/2012/741696

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:741696

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