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时标上三阶中立型变时滞动力方程解的振动性与渐进性
引用本文:王俊俊,赵伟杰.时标上三阶中立型变时滞动力方程解的振动性与渐进性[J].平顶山学院学报,2008,23(5).
作者姓名:王俊俊  赵伟杰
作者单位:平顶山学院,河南,平顶山,467002
摘    要:利用Riccati技巧讨论了时标上一类三阶非线性中立型变时滞动力方程,得到了该方程有振动解的一个充分条件,从而推广了一些已有的结论.

关 键 词:时标  动力方程  变时滞  振动性  渐进性  Riccati技巧

Oscillatory and Asymptotic Behavior for Third-order Neutral Dynamic Equation with Variable Delay on Time Scales
WANG Jun-jun,ZHAO Wei-jie.Oscillatory and Asymptotic Behavior for Third-order Neutral Dynamic Equation with Variable Delay on Time Scales[J].Journal of Pingdingshan University,2008,23(5).
Authors:WANG Jun-jun  ZHAO Wei-jie
Institution:WANG Jun-jun,ZHAO Wei-jie(Pingdingshan University,Pingdingshan,Henan 467002,China)
Abstract:In this paper,we used the Riccati technique to discuss the third-order neutral dynamic equation with variable delay on time scales.Some sufficient conditions guaranteeing every solution of this equation oscillating or converging to zero were established.In particular,some known results were generalized.
Keywords:time scales  dynamic equations  variable delay  oscillatory  asymptotic  Riccati technique  
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