Global attractivity in a recursive sequence

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摘要

In this paper, we study the invariant intervals, the globally attractivity of the two equilibrium points, and the oscillatory behavior of the solutions of the difference equationxn=axn−1−bxn−2c+xn−2,n=1,2,…,where a,b,c>0.

论文关键词:Difference equation,Recursive sequence,Equilibrium point,Global attractor,Exponential convergence,Semicycle

论文评审过程:Available online 27 November 2003.

论文官网地址:https://doi.org/10.1016/j.amc.2003.10.007