| 带强迫项的偶数阶差分方程的渐近性和振动性 |
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| 引用本文： | 杨甲山,刘兴元.带强迫项的偶数阶差分方程的渐近性和振动性[J].邵阳学院学报(自然科学版),2013(1):1-5. |
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| 作者姓名： | 杨甲山 刘兴元 |
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| 作者单位： | 邵阳学院理学与信息科学系 |
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| 基金项目： | 湖南省自然科学基金项目(12JJ6006);湖南省科技厅基金项目(2012FJ3107) |
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| 摘 要： | 关于中立型时滞差分方程的振动性和渐近性的研究，除了在理论上具有非常重要的意义外，在实际应用中也有着非常重要的意义．文章研究了一类带强迫项的偶数阶非线性中立型时滞差分方程的振动性，利用分析的方法和技巧，获得了该类方程解渐近性和振动性的若干充分条件，并举例说明了主要结果的应用．
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| 关 键 词： | 偶数阶 中立型时滞差分方程 非线性 渐近性 振动性 强迫项 |
Asymptotic Behavior and Oscillation for Even Order Difference Equations with Forced Term |
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| YANG Jia-shan,LIU Xing-yuan.Asymptotic Behavior and Oscillation for Even Order Difference Equations with Forced Term[J].Journal of Shaoyang University:Science and Technology,2013(1):1-5. |
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| Authors: | YANG Jia-shan LIU Xing-yuan |
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| Institution: | (Department of Science and Information,Shaoyang University,Shaoyang,Hunan 422004,China) |
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| Abstract: | The research for oscillation and asymptotic of neutral delay difference equations is very important in theory and applications. In this paper, oscillation for a class of even order nonlinear neutral delay difference equations with forced term is considered. By using analytic method and technique, some new sufficient conditions for the asymptotic behavior and oscillation of solutions of the equations are obtained. Some examples are given to illustrate our main conclusions. |
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| Keywords: | even order neutral delay difference equation nonlinear asymptotic behavior oscillation forced term |
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