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 variable delay on time scales is discussed and some new oscillation criteria are obtained.The results extend and include some known results, but also unify the oscillation of the second-order neutral differential equations and the second-order neutral difference equations.
出处
《韩山师范学院学报》
2015年第6期8-13,共6页
Journal of Hanshan Normal University
基金
广东省高等教育教学改革项目(项目编号:GDJG20142396)
广东省高等学校特色创新项目(项目编号:2014GXJK125)
关键词
时标
动力方程
振动性
广义Riccati变换
time scale
dynamic equation
oscillation
generalized Riccati transformation
