Admissibility for Nonuniform (μ,ν) Contraction and Dichotomy

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) contractio...

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Bibliographic Details
Main Authors: Yongxin Jiang, Fang-fang Liao
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/741696
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