一类三阶有理差分方程的全局吸引性

Global Attractivity of a Third-order Rational Difference Equation

本文主要讨论一类三阶有理差分方程x_(n+1)=α+βx_n/A+Bx_n+Cx_(n-1)+Dx_(n-2),n=0,1,0…其中α,β,A,B,C,D∈(0,∞),初始值x-2,x-1∈[0,∞),x0∈(0,∞)的全局吸引性,从而推广文[1]的结论。

In this paper the global attractivity of the rational difference equation xn＋1=α＋βxn/A＋Bxn＋Cxn-1＋Dxn-2,n=0,1,…is investigated,where α,β,A,B,C,D∈（0,∞）,and the initial conditions x-2,x-1∈[0,∞）,x0∈（0,∞）.