| 具变系数多时滞差分方程解振动的充分条件 |
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| 引用本文： | 刘琼,杨甲山,刘一龙.具变系数多时滞差分方程解振动的充分条件[J].湖南城市学院学报(自然科学版),2006,15(2):40-42. |
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| 作者姓名： | 刘琼 杨甲山 刘一龙 |
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| 作者单位： | 邵阳学院,理学与信息科学系,湖南,邵阳,422004 |
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| 摘 要： | 讨论了变系数时滞差分方程x（n＋1）-x（n）=n↑∑↓（i=1）pi（n）x（n-ki）=0的解的振动性，并运用了一些新的技巧，在一定的条件下得到了其解振动的充分条件，并对现有文献中的某些结果进行了改进和推广。
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| 关 键 词： | 时滞差分方程 振动性 最终正解 |
| 文章编号： | 1672-7304（2006）02-0040-03 |
| 收稿时间： | 2006-02-01 |
| 修稿时间： | 2006-02-01 |
The Sufficient Conditions for the Oscillation of Delay Difference Equations with Variable Coefficients |
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| LIU Qiong,YANG Jia-shan,LIU Yi-long.The Sufficient Conditions for the Oscillation of Delay Difference Equations with Variable Coefficients[J].Journal of Hunan City University:Natural Science,2006,15(2):40-42. |
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| Authors: | LIU Qiong YANG Jia-shan LIU Yi-long |
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| Institution: | Department of Mathematics, Shaoyang University, Shaoyang, Hunan 422004, China |
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| Abstract: | In this paper,the oscillation of solutions of delay difference equation x(n 1)-x(n) sum from i=1 to m p_i(n)x(n-k_i)=0 is investigated by employing some new techniques.The sufficient conditions for oscillation of all solutions are obtained,and some results in literatures are imoroved. |
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| Keywords: | Delay difference equation oscillation eventually positive solution |
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