三阶中立型时滞动力方程的振动性

Oscillation of Third-Order Neutral Delay Dynamic Equations

本文首次研究时间尺度上一类新的二阶具有阻尼项的非线性时滞中立型动力方程的振动性的问题.利用时间尺度上的微积分理论、Riccati变换和不等式技巧的方法,获得方程振动的一些新的结果,推广已有文献的结果,丰富了三阶时滞动力方程的振动性.最后,通过例子验证了相关的结果.

In this paper, we consider a new class of third-order neutral delay dynamic equations on time scales, apply Riccati transform, inequality technique and related lemmas, and obtain several new sufficient conditions for the oscillation of the equations. Meanwhile the relevant conclusions of existing literature have been improved and generalized. Finally, the main results are demonstrated with specific examples.