On the rational difference equation yn+1=A+ynyn-k

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摘要

We find conditions for the global asymptotic stability of the unique negative equilibrium y¯=1+A of the equation(1)yn+1=A+ynyn-k,where y−k, y−k+1, … , y0, A ∈ R, and k ∈ {1, 2, 3, 4, …}.

论文关键词:Recursive sequence,Global asymptotic stability

论文评审过程:Available online 19 December 2005.

论文官网地址:https://doi.org/10.1016/j.amc.2005.10.047