【摘要】 利用广义Riccati变换和不等式技巧,给出了一类时间尺度上二阶非线性时滞动力方程解的一个新的振动准则.该结果不仅推广和改进了已有文献的有关结果,而且在时间尺度上统一了二阶非线性时滞微分方程和二阶非线性时滞差分方程的振动性.更多还原

【Abstract】 By using the generalized Riccati transformation and the inequality technique,we establish one new oscillation criterion for the second-order nonlinear delay dynamic equations on time scales.Our results not only extend and improve some known theorems,but also unify the oscillation of the second-order nonlinear delay differential equation and the second-order nonlinear delay difference equation on time scales.更多还原