一类有理型时滞差分方程的稳定性研究

摘要

In this paper, we consider the stability of rational delay difference equations and give a sufficient condition for the zero solution of asymptotically stable fifth order delay difference equations of the form xn+1=A+B4xn-4/β4xn-4+Crn-k-4,n=0,1,2…Where A≠0,β4B4C≠0 are real constants, k is a positive integer.%在这篇文章中,我们研究如下形式的有理型时滞方程x(.)+1=(β4xn-4/A+B4xn-4)+Cxn-k-4,n=0,1,2,…的稳定性,得到了上述方程零解渐近稳定的克分条件,其中A,C,β4,B4是实常数,且A≠0,C≠0,k＞1正整数.