Limit periodic homogeneous linear difference systems
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摘要
We study limit periodic homogeneous linear difference systems, where the coefficient matrices belong to a bounded group. We find groups of matrices with the property that the systems, which do not possess any non-zero asymptotically almost periodic solution, form a dense subset in the space of all considered systems. Analogously, we analyse almost periodic systems as well.
论文关键词：Limit periodicity,Almost periodicity,Asymptotic almost periodicity,Almost periodic sequences,Almost periodic solutions,Linear difference equations
论文评审过程：Received 2 September 2013, Accepted 1 June 2015, Available online 24 June 2015, Version of Record 24 June 2015.
论文官网地址：https://doi.org/10.1016/j.amc.2015.06.008
