Article
MSC:
34D05,
34D09,
34E05,
34G20,
37C75,
47D06 | MR 2092710 | Zbl 1080.34538 | DOI: 10.21136/MB.2004.134146
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Keywords:
linear skew-product flow; uniform exponential stability; uniform exponential instability
linear skew-product flow; uniform exponential stability; uniform exponential instability
Summary:
We give characterizations for uniform exponential stability and uniform exponential instability of linear skew-product flows in terms of Banach sequence spaces and Banach function spaces, respectively. We present a unified approach for uniform exponential stability and uniform exponential instability of linear skew-product flows, extending some stability theorems due to Neerven, Datko, Zabczyk and Rolewicz.
References:
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