又一类三阶中立型分布时滞微分方程的振动定理

OSCILLATION THEOREMS FOR ANOTHER THIRD ORDER NEUTRAL DIFFERENTIAL EQUATIONS WITH DISTRIBUTED DELAYS

本文研究三阶中立型分布时滞微分方程的振动问题.利用Riccati变换技巧和积分平均方法,获得了方程每一解振动或者收敛到零点的新准则,最后,给出了说明所得结果应用的例子.

In this paper, we study the vibration problem of third order neutral differential equations with distributed delays. By using Riccati transform technique and integral averaging method, we obtain a criterion for equations with all solutions oscillating or converging to zero. An example is given to illustrate the application of the example.