时滞差分方程的正解与全局渐近稳定性

POSITIVE SOLUTIONS AND GLOBAL ASYMPTOTIC STABILITY IN DELAY DIFFERENCE EQUATIONS

本文通过研究一类一阶变系数时滞差分方程ｘｎ＋１－ｘｎ＋∑ｓｉ＝１ｐｉ，ｎｘｎ－ｋｉ＝０，ｎ＝０，１，２，…的一个正解的性质，得到了它的零解为全局渐近稳定的充分条件．

In this paper, The global asymptotic stability of the zero solution for a delay difference equation of order one with variable coefficients x n+1 -x n+∑si=1p i,n x n-k i =0, n=0,1,… is discussed by studying the properties of a positive solution of the equation.