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2014•Annals of West University of Timisoara - Mathematics and Computer ScienceOpen access

On Exponential Trichotomy of Cocycles over Semiflows

Larisa Elena Biriş, Raluca Retezan

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Abstract

Abstract The paper considers a concept of exponential trichotomy for cocycles over semiflows in Banach spaces and as a particular case the corresponding dichotomy concept. Our main objective is to give a characterization of exponential trichotomy for a cocycle over a semiflow in terms of exponential dichotomy of two associated cocycles over the same semi ow.

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Abstract The paper considers a concept of exponential trichotomy for cocycles over semiflows in Banach spaces and as a particular case the corresponding dichotomy concept. Our main objective is to give a characterization of exponential trichotomy for a cocycle over a semiflow in terms of exponential dichotomy of two associated cocycles over the same semi ow.

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Available abstract

Abstract The paper considers a concept of exponential trichotomy for cocycles over semiflows in Banach spaces and as a particular case the corresponding dichotomy concept. Our main objective is to give a characterization of exponential trichotomy for a cocycle over a semiflow in terms of exponential dichotomy of two associated cocycles over the same semi ow.

Key concepts: Trichotomy (philosophy), Exponential dichotomy, Exponential function, Mathematics, Banach space, Pure mathematics, Mathematical analysis, Epistemology

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