Global Attractivity of the Equilibrium of a Nonlinear Difference Equation

摘要

The authors consider the nonlinear difference equation xn+1=αxn+xn-kf(xn-k),n=0,1,(0.1) where α∈(0,1), k ∈ 0,1, and f ∈ C1[[0,∞), [0,∞)] with f′(x) < 0.