Popa, Ioan-Lucian; Megan, Mihail; Ceauşu, Traian Exponential dichotomies for linear discrete-time systems in Banach spaces. (English) Zbl 1289.39030 Appl. Anal. Discrete Math. 6, No. 1, 140-155 (2012). 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. Cited in 11 Documents 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 Keywords:uniform exponential dichotomy; nonuniform exponential dichotomy; exponential dichotomy; strong exponential dichotomy PDF BibTeX XML Cite \textit{I.-L. Popa} et al., Appl. Anal. Discrete Math. 6, No. 1, 140--155 (2012; Zbl 1289.39030) Full Text: DOI arXiv OpenURL