Abstract.
We present necessary and sufficient conditions for uniform exponential expansiveness of discrete skew-product flows, in terms of uniform complete admissibility of the pair (c 0(N, X), c 0(N, X)). We give discrete and continuous characterizations for uniform exponential expansiveness of linear skew-product flows, using the uniform complete admissibility of the pairs (c 0(N, X), c 0(N, X)) and (C 0(R +, X), C 0(R +, X)), respectively. We generalize an expansiveness theorem due to Van Minh, Räbiger and Schnaubelt, for the case of linear skew-product flows.
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Received August 10, 2001; in revised form June 25, 2002
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Megan, M., Sasu, A. & Sasu, B. Perron Conditions for Uniform Exponential Expansiveness of Linear Skew-Product Flows. Monatsh. Math. 138, 145–157 (2003). https://doi.org/10.1007/s00605-002-0520-1
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DOI: https://doi.org/10.1007/s00605-002-0520-1