时标上的二阶变时滞中立型动力方程的振动性

摘要

利用广义Riccati变换和完全平方技巧，研究了一类时标上的二阶变时滞中立型动力方程的振动性质，获得了这类方程在一定条件下所有解振动的若干振动准则，其结果不仅推广和包含了已知的一些结果，而且在时标上统一了二阶中立型微分方程和差分方程解的振动性质。%　　By using the generalized Riccati transformation and the averaging technique, the oscillation for a class of nonlinear second-order neutral dynamic equations with varible delay on time scales is discussed and some new oscillation criteria are obtained. The results extend and include some known results, but also uni⁃fy the oscillation of the second-order neutral differential equations and the second-order neutral difference equations.