On the recursive sequence xn=axn−1+bxn−2c+dxn−1xn−2

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摘要

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

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

论文评审过程:Available online 20 May 2004.

论文官网地址:https://doi.org/10.1016/j.amc.2004.03.023