Admissibility for Nonuniform Contraction and Dichotomy

Yongxin Jiang and Fang-fang Liao

Abstract and Applied Analysis, 2012, vol. 2012, 1-23

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 spaces, with , is admissible for a given evolution process, then this process is a nonuniform contraction and dichotomy. A collection of admissible Banach spaces for any given nonuniform contraction and dichotomy is provided.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:741696

DOI: 10.1155/2012/741696

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