时间尺度上一类二阶非线性动力系统的振动性判据

摘要

We investigate oscillation of certain second-order nonlinear neutral variable delay functional dynamic equations on a time scale T.By using two Riccati substitutions,the time scales theory and inequality technique,we establish two new oscillation criteria for the equations.These results deal with some cases which are not covered by the existing results in the literature.%研究了时间尺度 T上一类二阶非线性中立型变时滞泛函动力系统的振动性,通过引入2个不同的Riccati变换,借助时间尺度上的微积分理论,并结合不等式技巧,得到了该系统振动的2个新的准则,推广、改进和丰富了现有文献中的结果.