时间尺度上一类具阻尼项的二阶动力方程的振动性

摘要

In this paper, the oscillation for a class of second order nonlinear dynamic equation on time scales with damping term and variable delay was discussed. Using the time scales theory and some necessary analytic techniques, some sufficient conditions for oscillation of the equation were proposed by introducing parameter function and the generalized Riccati transformation. These results improve and generalize some corresponding known results in the literature.%本文研究了时间尺上的一类具有阻尼项和变时滞的二阶非线性中立型动力方程的振动性.通过引入参数函数和广义的Riccati变换,并借助时间测度链上的有关理论,得到了该类方程振动的几个充分条件.所得结果推广和改进了现有文献中相应的结果.