时间测度链上具非线性中立项的二阶阻尼动力方程的振动性

摘要

The oscillation for a class of second order nonlinear variable delay dynamic equation on time scales with nonlinear neutral term and damping term 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.%研究了时间测度链上的一类具有非线性中立项和阻尼项的二阶非线性变时滞动力方程的振动性.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.