非线性时滞差分方程的全局稳定性条件(英文)

Global Stability Criterion for Nonlinear Delay Difference Equations

研究非线性时滞差分方程Δｘｎ＋ｆ（ｎ，ｘｎ－τ）＝０，ｎ＝０，１，２，…．获得了其零解为全局稳定的充分条件，作为应用，推广并改进了Ｌａｄａｓ等的结果．

Sufficient conditions are obtained under which the zero solution of the nonlinear delay difference equation Δx n+f(n,x n-T )=0,n=0,1,2,… is globally asymptotically stable.An application to linear difference equation also extends and improves a result by Ladas et al.