一类三阶中立型非线性时滞动力方程的振动性研究

The oscillatory properties of a class of the third-order nonlinear neutral dynamic equations with delay argument

研究了一类三阶中立型非线性时滞动力方程的振动性质.通过构造广义Riccati变换得到一类广义Riccati不等式,同时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,拓展和改进了近期文献的相关结论,最后给出了若干例子验证结论的有效性.

This paper studies the oscillatory properties of a class of the third - order nonlinear neutral dynamic e- quations with delay argument. Using a generalized Riccati inequality and integral averaging technique, some new sufficient criteria are established, that is, any solution of this equation will be oscillatory or convergent to zero. The results extend and improve the ones in recent literature, and give a number of examples to prove the efficiency.