一类差分方程的渐近性(英文)

The Stability of a Class of Difference Equations

中文摘要:

      本文对高维非自治差分方程x(τ+1)=f(τ,x)+g(τ,y);y(τ+1)=k(τ,x,y) (1)得到了保证其平凡解渐近稳定,一致渐近稳定的判别准则,而对V逐数的差分不要求负定性,推广了文[1]中相应的结果.

英文摘要:

      In this paper, we study the stability of a class of difference equations, obtain the sufficient conditions of asymptotic stability and uniformly asymptotic stability by applying Liapunov functions. These results are a extension of Wang Lian et al's results.