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Exponential stability and exponential instability for linear skew-product flows

Mihail Megan, Adina Luminiţa Sasu, Bogdan Sasu (2004)

Mathematica Bohemica

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.

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