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On Asymptotic Behaviors for Linear Skew-Product Semiflows in Banach Spaces
unpublished
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In this paper we give several characterizations of some asymptotic behaviours: stability, instability, dichotomy and trichotomy of linear skew product semiflows in Banach spaces. The obtained results are generalizations of some well-known results on asymptotic behaviours of linear differential equations. There are also presented several examples of semiflows and linear skew-product semiflows in Banach spaces. 1. Linear skew-product semiflow Let X be a Banach space, let () ,d Θ be a metric space
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