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Exponential Dichotomy for Evolution Families on the Real Line
We give necessary and sufficient conditions for uniform exponential dichotomy of evolution families in terms of the admissibility of the pair (Lp(R,X),Lq(R,X)). We show that the admissibility of the pair (Lp(R,X),Lq(R,X)) is equivalent to the uniform exponential dichotomy of an evolution family if and only if p ≥ q. As applications we obtain characterizations for uniform exponential dichotomy o...
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ژورنال
عنوان ژورنال: Banach Center Publications
سال: 1989
ISSN: 0137-6934,1730-6299
DOI: 10.4064/-22-1-449-464