非自治非线性时滞差分方程的全局渐近稳定性

The Global Asymptotic Stability of Zero Solution of Nonlinear Nonautonomous Delay Difference Equtions

主要讨论了非自治非线性时滞差分方程的线形部分为 2周期系数与非周期系数的两种情形 。

In this paper,we study the problem of the global asymptotic stability of zero xolution of nonlinear nonautonomous delay difference equations. We give some sufficient conditions for the global asymptotic stabiliy of zero solution of nonlinear nonautonomous delay difference equations.These sufficient conditions are quite different when the linear parts of the equations are periodic and when they are nonperiodic.We discuss these two cases separately.