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Admissibility for Nonuniform Contraction and Dichotomy

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  • Yongxin Jiang
  • Fang-fang Liao

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.

Suggested Citation

  • Yongxin Jiang & Fang-fang Liao, 2012. "Admissibility for Nonuniform Contraction and Dichotomy," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-23, December.
    • Handle: RePEc:hin:jnlaaa:741696
    DOI: 10.1155/2012/741696
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