非线性中立型时滞差分方程的渐近稳定性

STABILTY OF NONLINEAR NEUTRAL RETARDED DIFFERENCE EQUATIONS

本文建立了非线性中立型时滞差分方程△(xn-cxn-k)+h(n,xn-l)=0零解稳定和渐近稳定的充分条件.所得定理改进了若干重要文献的有关结果.

Stability theorem for the zero solution of nonlinear neutral delay difference equations form are estalished. An example, which illustrates the importance of the results, is included. The theorems obtained improve some of well-known results in the literature.