On the nonautonomous difference equation xn+1=An+xn-1pxnq

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摘要

In this paper we study the asymptotic behavior and the periodicity of the positive solutions of the nonautonomous difference equation:xn+1=An+xn-1pxnq,n=0,1,…,where An is a positive bounded sequence, p, q ∈ (0, ∞) and x−1, x0 are positive numbers.

论文关键词:Difference equations,Boundedness,Persistence,Attractivity,Periodicity,Asymptotic stability

论文评审过程:Available online 13 December 2010.

论文官网地址:https://doi.org/10.1016/j.amc.2010.12.031