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Exponential dichotomies for linear discrete-time systems in Banach spaces. (English) Zbl 1289.39030

Summary: We investigate some dichotomy concepts for linear difference equations in Banach spaces. Characterizations of these concepts are given. Some illustrating examples clarify the relations between these concepts.

MSC:

39A30 Stability theory for difference equations
34D05 Asymptotic properties of solutions to ordinary differential equations
34D09 Dichotomy, trichotomy of solutions to ordinary differential equations
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