摘要

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 L-p spaces, with p epsilon (1, infinity], is admissible for a given evolution process, then this process is a nonuniform (mu, nu) contraction and dichotomy. A collection of admissible Banach spaces for any given nonuniform (mu, nu) contraction and dichotomy is provided.

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