具连续变量非线性中立型时滞差分方程的振动性

Oscillation of non-liner neutral delay difference equation with continuous variables

利用Lebesgue控制收敛定理和隐函数存在定理,研究了一类常系数的具有连续变量非线性中立型时滞差分方程的振动性,得到了方程不振动的一个充分条件和方程振动的一个充要条件.

By using Lebesgue connergence theorem and implicit function existing theorm, this paper studied oscillation of non-liner neutral delay difference equation with continuous variables, obtained a sufficient condition of equation no-oscilla- tion,and a sufficient and necessary condition of equation oscillation.