| 具有阻尼项和分布时滞的二阶中立型泛函微分方程的振动性 |
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| 引用本文： | 陈大学,周树清,刘兰初,龙玉花.具有阻尼项和分布时滞的二阶中立型泛函微分方程的振动性[J].西南师范大学学报(自然科学版),2007,32(5):22-26. |
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| 作者姓名： | 陈大学 周树清 刘兰初 龙玉花 |
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| 作者单位： | 1. 湖南工程学院,数理系,湖南,湘潭,411104
2. 湖南师范大学,数学与计算机科学学院,长沙,410081 |
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| 基金项目： | 国家自然科学数学天元基金资助项目(A0324632)，湖南省教育厅资助项目(06C242) |
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| 摘 要： | 考虑一类具有阻尼项和分布时滞的二阶中立型泛函微分方程的振动性,通过利用Riccati变换、引入参数函数和采用积分平均技术,获得了该类方程所有解振动的几个充分条件.
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| 关 键 词： | 中立型泛函微分方程 阻尼项 分布时滞 振动性 |
| 文章编号： | 1000-5471（2007）05-0022-05 |
| 修稿时间： | 2006-11-21 |
Oscillation of a Class of Second Order Neutral Functional Differential Equations with Distributed Delay and Damping Term |
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| CHEN Da-xue,ZHOU Shu-qing,LIU Lan-chu,LONG Yu-hua.Oscillation of a Class of Second Order Neutral Functional Differential Equations with Distributed Delay and Damping Term[J].Journal of Southwest China Normal University(Natural Science),2007,32(5):22-26. |
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| Authors: | CHEN Da-xue ZHOU Shu-qing LIU Lan-chu LONG Yu-hua |
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| Institution: | 1. Dept. of Mathematics and Physics, Hunan Institute of Engineering, Xiangtan Hunan 411104, China; 2. College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, China |
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| Abstract: | Consider the oscillation of a class of second order neutral functional differential equations with distributed delay and damping term,and obtain several sufficient conditions for the oscillation of all of its solutions by making use of Riccati transformation,introducing parameter function and using integral averaging technique. |
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| Keywords: | neutral functional differential equation damping term distributed delay oscillation |
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