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Nonuniform exponential dichotomy for linear skew-product semiflows over semiflows

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Abstract

The aim of this paper is to obtain necessary and sufficient conditions for the existence of a nonuniform exponential dichotomy over a general class of linear skew-product semiflows (over semiflows) on a Banach space. We extend Datko’s classical result to the case of the exponential nonuniform dichotomy of linear skew-product semiflows over semiflows on a Banach space, by using Lyapunov norms.

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Authors and Affiliations

  1. West University of Timisoara, Bd. V. Parvan, No. 4, 300223, Timisoara, Romania

    Ciprian Preda & Oana Romina Onofrei

Authors
  1. Ciprian Preda
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  2. Oana Romina Onofrei
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Correspondence to Oana Romina Onofrei.

Additional information

Communicated by Jerome A. Goldstein.

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Preda, C., Onofrei, O.R. Nonuniform exponential dichotomy for linear skew-product semiflows over semiflows. Semigroup Forum 96, 241–252 (2018). https://doi.org/10.1007/s00233-017-9868-3

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  • DOI: https://doi.org/10.1007/s00233-017-9868-3

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