Nonuniform dichotomy spectrum and reducibility for nonautonomous difference equations
classification
🧮 math.DS
keywords
dichotomydifferenceequationsintroducenonautonomousnonuniformnotionprove
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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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