方程x_(n+1)=x_nexp[r_n((1-x_n)/(1-λx^n))]的全局吸引性

Globat Attractivty of the equation x_(n+1)=x_nexp[r_n((1-x_n)/(1-λx^n))]

本文考虑非自治差分方程xn+ 1=xnexp[rn1- xn1-λxn] n=0 ,1,2 ,…的全局吸引性 ,这里 { rn}是正实数列 0 <λ<1我们获得了方程每一解趋于 1的充分条件 .

In this paper,we consider the nonautonomous differenceequation x n+1=x nexpr nSX(1-x n1-λx nSX) n=0,1,2,... Where {r n} is a sequence of positive number 0<λ<1.We obtain somesufficent conditons for eveny positive solution of equation satisfying the initiat conditon to converge to 1 as n→∞.