Asymptotic behaviour of the solutions of a nonautonomous linear delay difference system
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摘要
It is proved under appropriate assumptions that the solutions of a linear system of nonautonomous delay difference equations have finite limit at infinity. The results are based on a transformation of the delay difference system into a first-step recursion, where the companion matrices are well treatable from our point of view. Our theory is illustrated by examples, including a class of linear delay difference equations with unbounded coefficients.
论文关键词:Difference equations,Companion matrix,Asymptotic constancy
论文评审过程:Available online 16 October 2010.
论文官网地址:https://doi.org/10.1016/j.amc.2010.09.071