具连续变量的高阶差分方程的振动与非振动准则

Oscillation and nonoscillation criteria for higher order difference equations with continuous arguments

研究一类具有连续变量的高阶非线性中立型时滞差分方程的振动性,利用Banach空间的不动点原理和一些分析技巧,得到这类方程振动和非振动的一些新的判别准则,同时给出例子验证其有效性.

In this paper,the oscillation of a class of higher order nonlinear neutral delay difference equations with continuous arguments was studied.Using the fixed point theorem in Banach space and some necessary techniques,some new oscillation and nonoscillation criteria for the higher order nonlinear difference equations were obtained.The examples were presented to illustrate the effectiveness of our theorems.