On the rational difference equation yn+1=A+yn-kyn
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摘要
We find conditions for the global asymptotic stability, periodicity and semi-cycle analysis of the unique positive equilibrium y¯=1+A of the equationyn+1=A+yn-kyn,n=0,1,…where y−k, y−k+1, …, y0, A ∈ (0, ∞) and k ∈ {2, 3, 4, …}.
论文关键词：Recursive sequence,Global asymptotic stability
论文评审过程：Available online 14 March 2005.
论文官网地址：https://doi.org/10.1016/j.amc.2005.01.094
