时标上的二阶变时滞中立型动力方程的振动性  

Oscillation for Second-Order Neutral Dynamic Equations with Variable Delay on Time Scales

作　　者：林文贤[1] 

机构地区：[1]韩山师范学院数学与应用数学系,广东潮州521041

出　　处：《韩山师范学院学报》2012年第6期10-15,共6页Journal of Hanshan Normal University

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.

关 键 词：时标 动力方程 振动性 广义Riccati变换 

分 类 号：O175.12[理学—数学] O175.14[理学—基础数学]