| 一类具连续分布滞量的高阶非线性中立型偏微分方程的振动性 |
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| 引用本文： | 彭白玉,罗李平.一类具连续分布滞量的高阶非线性中立型偏微分方程的振动性[J].贵州师范大学学报(自然科学版),2007,25(2):60-64. |
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| 作者姓名： | 彭白玉 罗李平 |
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| 作者单位： | 衡阳师范学院,数学系,湖南,衡阳,421008 |
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| 摘 要： | 考虑一类具连续分布滞量的偶数阶非线性中立型偏微分方程解的振动性,利用微分不等式方法和微积分技巧,得到了该类方程在Robin,Dirichlet边界条件下振动的若干充分条件.
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| 关 键 词： | 偶数阶 非线性 中立型偏微分方程 振动性 连续分布滞量 |
| 文章编号： | 1004-5570（2007）02-0060-05 |
| 收稿时间： | 2006-10-20 |
| 修稿时间： | 2006年10月20 |
Oscillation for a class of higher order nonlinear neutral partial differential equations with continuous distribution delay |
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| PENG Bai-yu,LUO Li-ping.Oscillation for a class of higher order nonlinear neutral partial differential equations with continuous distribution delay[J].Journal of Guizhou Normal University(Natural Sciences),2007,25(2):60-64. |
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| Authors: | PENG Bai-yu LUO Li-ping |
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| Institution: | Department. of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008 China |
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| Abstract: | The oscillation for solutions of certain even order nonlinear neutral partial differential equations with continuous distribution delay is considered in this paper. Some sufficient criteria are obtained for oscillation of such equations under Robin and Dirichlet boundary value conditions via the method of differential inequalities and calculous technique. |
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| Keywords: | even order nonlinear neutral partial differential equation oscillation continuous distribution delay |
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