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arXiv · 1607.01427

Admissible Banach function spaces and nonuniform stabilities

Nicolae Lupa·Liviu Horia Popescu
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Abstract

For nonuniform exponentially bounded evolution families defined on Banach spaces, we introduce a class of Banach function spaces, whose norms are completely determined by the nonuniform behaviour of the corresponding evolution family. We generalize a classical theorem of Datko on these spaces. In addition, we obtain new criteria for the existence of nonuniform stability.

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Nicolae Lupa, Liviu Horia Popescu. 2016-07-05. Admissible Banach function spaces and nonuniform stabilities. https://arxiv.org/abs/1607.01427

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