时标上一类三阶中立型动力方程的振动准则  

Oscillation for Third-order Nonlinear Neutral Delay Dynamic Equations on Time Scales

作　　者：王俊俊[1] 刘展[1] 

机构地区：[1]河南省平顶山学院数学与信息科学学院,河南平顶山467000

出　　处：《数学的实践与认识》2013年第4期265-268,共4页Mathematics in Practice and Theory

基　　金：河南省自然科学基金(2010A110001);平顶山学院高层次人才资助项目(2008002)

摘　　要：利用广义Riccati代换给出了时标上一类三阶中立型动力方程的振动准则,其结果不仅得到了几个振动解存在的条件,也拓展了一些已有的结论,在最后还给出了几个例子来验证结论.It is the purpose of this paper to give oscillation criteria for third order nonlinearneutral delay dynamic equations.Our results are not only new for third order nonlinear delay dynamic equations but also extend many known results for oscillation of third order equations.And some examples are given.

关 键 词：振动性 中立型 广义Riccati变换 动力方程 时标 

分 类 号：O175[理学—数学]