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Nonuniform Dichotomy with Growth Rates of Skew-Evolution Cocycles in Banach Spaces

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This paper presents integral charaterizations for nonuniform dichotomy with growth rates and their correspondents for the particular cases of nonuniform exponential dichotomy and nonuniform polynomial dichotomy of skew-evolution cocycles in… Click to show full abstract

This paper presents integral charaterizations for nonuniform dichotomy with growth rates and their correspondents for the particular cases of nonuniform exponential dichotomy and nonuniform polynomial dichotomy of skew-evolution cocycles in Banach spaces. The connections between these three concepts are presented.

Keywords: evolution cocycles; growth rates; dichotomy growth; nonuniform dichotomy; cocycles banach; skew evolution

Journal Title: Axioms
Year Published: 2023

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