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

The aim of this paper is to present the dichotomic behaviors of skew-evolution cocycles in Banach spaces. Integral characterizations, which generalize classic results of Barbashin, are considered for the concept of *-uniform dichotomy with growth rates, respectively for the particular cases of *-uniform exponential dichotomy and *-uniform polynomial dichotomy.