| 具连续变量脉冲中立型时滞差分方程的振动性 |
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| 引用本文： | 胡冰,欧阳瑞,吴景珠.具连续变量脉冲中立型时滞差分方程的振动性[J].湘潭大学自然科学学报,2012,34(1):19-22. |
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| 作者姓名： | 胡冰 欧阳瑞 吴景珠 |
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| 作者单位： | 周口师范学院经济管理系;周口师范学院数学与信息科学系 |
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| 基金项目： | 河南省基础与前沿技术研究项目 |
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| 摘 要： | 利用构造函数法研究了具连续变量脉冲中立型时滞差分方程的振动性.首先通过构造辅助方程得到了辅助方程与所研究方程解振动性的等价定理,然后利用研究具连续变量差分方程所有解振动的方法,研究了辅助方程的振动性,得到了具连续变量脉冲中立型时滞差分方程所有解振动的两个充分性条件.
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| 关 键 词： | 脉冲中立型时滞差分方程 连续变量 振动性 |
Oscillation of Impulsive Neutral Delay Difference Equations with Continuous Arguments |
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| HU Bing
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OUYANG Rui
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WU Jing-zhu.Oscillation of Impulsive Neutral Delay Difference Equations with Continuous Arguments[J].Natural Science Journal of Xiangtan University,2012,34(1):19-22. |
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| Authors: | HU Bing OUYANG Rui WU Jing-zhu |
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| Institution: | 1.Department of Economic Management,Zhoukou Normal University,Zhoukou 466000; 2.Department of Mathematics and Information Science,Zhoukou Normal University,Zhoukou 466000 China) |
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| Abstract: | Researched the oscillation of impulsive neutral delay difference equations with continuous arguments by using of constructor method.First,constructed equivalence theorem on oscillation between auxiliary equation and studied equation.Then,studied the auxiliary equation by means of the method of equations with continuous arguments,two sufficient conditions for oscillation of impulsive neutral delay difference equations with continuous arguments are obtained. |
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| Keywords: | impulsive neutral delay difference equation continuous argument oscillation |
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