Abstract
In the present paper, we consider the problem of dichotomic behaviors of dynamical systems described by discrete-time skew evolution cocycles in Banach spaces. We study two concepts of uniform dichotomy: uniform exponential dichotomy and uniform polynomial dichotomy. Some characterizations of these notions and connections between these concepts are given.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference20 articles.
1. Die Stabilit�tsfrage bei Differentialgleichungen
2. Dichotomies in stability theory;Coppel,1978
3. Stability of Solutions of Differential Equations in Banach Spaces;Daleckii,1974
4. Linear Differential Equations and Function Spaces;Massera,1966
5. Polynomial growth rates
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