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ON ${\bf (a,b)}$-DICHOTOMY FOR EVOLUTIONARY PROCESSES ON A HALF-LINE
Published online by Cambridge University Press: 19 May 2004
Abstract
In this paper we investigate the most general dichotomy concept of evolutionary processes. This dichotomy concept includes many interesting situations, among them we note the nonuniform dichotomy. We characterize the $(a,b)$-dichotomy in terms of the admissibility of the pair $(L^1_a, L^{\infty}_b)$. Also, generalizations of the results of [20], [23] are obtained.
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- Research Article
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- 2004 Glasgow Mathematical Journal Trust
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