| 偶数阶非线性中立型偏微分方程组的振动性 |
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| 引用本文： | 胡兆文,唐吉柱,罗李平.偶数阶非线性中立型偏微分方程组的振动性[J].衡阳师范学院学报,2007,28(6):7-13. |
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| 作者姓名： | 胡兆文 唐吉柱 罗李平 |
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| 作者单位： | 1. 永兴县第一中学,湖南,永兴,423300
2. 衡阳师范学院数学系,湖南,衡阳,421008 |
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| 基金项目： | 湖南省教育厅科研项目资助(07C164) |
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| 摘 要： | 讨论了一类偶数阶非线性中立型偏微分方程组解的振动性,利用微分不等式方法和黎卡提变换,获得了这类方程组在Robin和Dirichlet边值条件下振动的若干充分判据,所得结果推广和包含了已知的一些结论,并通过一些例子加以阐明.
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| 关 键 词： | 偶数阶 非线性中立型 偏微分方程组 振动性 黎卡提变换 |
| 文章编号： | 1673-0313（2007）06-0007-07 |
| 收稿时间： | 2007-09-16 |
| 修稿时间： | 2007-09-16 |
Oscillation of Systems of Even Order Nonlinear Neutral Partial Differential Equations |
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| HU Zhao-wen,TANG Ji-zhu,LUO Li-ping.Oscillation of Systems of Even Order Nonlinear Neutral Partial Differential Equations[J].journal of Hengyang Normal University,2007,28(6):7-13. |
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| Authors: | HU Zhao-wen TANG Ji-zhu LUO Li-ping |
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| Institution: | 1. No. 1 Middle School of Yongxing, Yongxing Hunan 423300,China; 2. Dept. of Math. , Hengyang Normal University, Hengyang Hunan 421008,China |
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| Abstract: | This paper discusses the oscillation of solutions to systems of certain even order nonlinear neutral delay partial differential equations.By using the method of differential inequality and Riccati transformation,some sufficient criteria are obtained for oscillation of such systems under Robin and Dirichlet boundary value conditions.These results generalize and include some known conclusions and are illustrated by some examples. |
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| Keywords: | even order nonlinear neutral type system of partial differential equations oscillation Riccati transformation |
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