Exponential splitting for nonautonomous linear discrete-time systems in Banach spaces

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摘要

In this paper we consider some concepts of exponential splitting for nonautonomous linear discrete-time systems. These concepts are generalizations of some well-known concepts of (uniform and nonuniform) exponential dichotomies. Connections between these concepts are presented and some illustrating examples prove that these are distinct.

论文关键词:34D05,39A05,Nonautonomous linear discrete-time systems,Exponential splitting,Strong exponential splitting

论文评审过程:Received 9 September 2015, Revised 28 March 2016, Available online 8 April 2016, Version of Record 17 October 2016.

论文官网地址:https://doi.org/10.1016/j.cam.2016.03.036