Nonuniform dichotomy spectrum and reducibility for nonautonomous difference equations

2014/02/07 by Jifeng Chu, Hailong Zhu, Chu, Jifeng +5
Engineering · Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Numerical methods for differential equations #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1402.1599

openalex publication_date 2014/02/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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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