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具有连续变量的奇数阶中立型时滞差分方程的振动准则
引用本文:杨甲山.具有连续变量的奇数阶中立型时滞差分方程的振动准则[J].邵阳学院学报(自然科学版),2009,6(3):8-10.
作者姓名:杨甲山
作者单位:邵阳学院理学与信息科学系,湖南,邵阳,422004 
基金项目:湖南省教育厅资助科研项目,No:07C680 
摘    要:本文用分析的方法研究了一类具有连续变量的奇数阶非线性中立型时滞差分方程的振动性,得出了该类方程所有有界解振动的几个充分条件,同时得出了该类方程振动的充分条件.

关 键 词:时滞差分方程  振动性  最终正解  连续变量

Oscillatory Criteria of Odd-order Nonlinear Neutral Delay Difference Equations with Continuous Arguments
YANG Jia-shan.Oscillatory Criteria of Odd-order Nonlinear Neutral Delay Difference Equations with Continuous Arguments[J].Journal of Shaoyang University:Science and Technology,2009,6(3):8-10.
Authors:YANG Jia-shan
Institution:YANG Jia-shan ( Department of Sciences and Information Science,Shaoyang University, Shaoyang 422004,China )
Abstract:By using the method of analysis,the oscillation for a class of the odd-order nonlinear neutral delay difference equations with continuous arguments is studied. Some sufficient conditions are obtained for oscillation of all bounded solutions of the equations and oscillation of the equations.
Keywords:delay difference equation  oscillation  eventually positive solution  continuous arguments
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