Nonuniform dichotomy spectrum and reducibility for nonautonomous difference equations

Published 7 Feb 2014 in math.DS | (1402.1599v1)

Abstract: For nonautonomous linear difference equations, we introduce the notion of the so-called nonuniform dichotomy spectrum and prove a spectral theorem. Moreover, we introduce the notion of weak kinematical similarity and prove a reducibility result by the spectral theorem.

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