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Keywords:
evolution family; uniform exponential instability; Banach function spaces
evolution family; uniform exponential instability; Banach function spaces
Summary:
In this paper we give necessary and sufficient conditions for uniform exponential instability of evolution families in Banach spaces, in terms of Banach function spaces. Versions of some well-known theorems due to Datko, Neerven, Rolewicz and Zabczyk, are obtained for the case of uniform exponential instability of evolution families.
References:
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