研究了一类三阶中立型时滞动力方程的振动性和渐进性.通过构造广义Riccati变换得到一类广义Riccati不等式,利用积分平均技术等方法,建立了保证此方程一切解振动或者收敛到零的若干新的振动结果,拓展和改进了已有的研究结论,最后给出了若干例子验证结论的有效性.
The purpose of the paper is to study the oscillatory properties of a class of third-order neutral dy-namic equations with delay argument. By employing a generalized Riccati transformation, which can obtain a generalized Riccati inequality and integral averaging technique, some new criterias are established, whichensures that any solution of the equation will be oscillatory or conerge to zero. The results extend and improve the ones in recent literature, and provide a number of examples to prove the efficiency.