Global asymptotic behavior of a rational difference equation
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摘要
The main goal of this paper is to investigate the global asymptotic behavior of the difference equation:yn+1=yn-1pn+yn,n=0,1,2,…where {pn} is a period-two sequence:pn=α,ifnis evenβ,ifnis oddwith α,β∈(0,∞) and the initial conditions y-1,y0∈[0,∞). We obtain some global attractivity results for the equilibrium of this system for different values of the parameters.
论文关键词：Difference equation,Global attractivity,Stability,Period-two solution,Stable manifold,Unstable manifold
论文评审过程：Available online 23 February 2012.
论文官网地址：https://doi.org/10.1016/j.amc.2012.01.054
