| 具连续分布滞量的高阶非线性中立型偏微分方程的振动准则 |
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| 引用本文： | 罗李平,欧阳自根.具连续分布滞量的高阶非线性中立型偏微分方程的振动准则[J].兰州理工大学学报,2006,32(5):139-142. |
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| 作者姓名： | 罗李平 欧阳自根 |
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| 作者单位： | 1. 衡阳师范学院,数学系,湖南,衡阳,421008
2. 南华大学,数学系,湖南,衡阳,421001 |
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| 基金项目： | 国家自然科学基金
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湖南省自然科学基金 |
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| 摘 要： | 研究了一类具有连续分布滞量的高阶非线性中立型偏微分方程解的振动性,给出了这类方程在两类边值条件下解的振动准则.
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| 关 键 词： | 高阶偏微分方程 非线性中立型 振动性 连续分布滞量 |
| 文章编号： | 1673-5196(2006)05-0139-04 |
| 收稿时间： | 2005-09-14 |
| 修稿时间： | 2005年9月14日 |
Oscillatory criteria of high-order nonlinear neutral partial differential equations with continuous distribution delay |
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| LUO Li-ping,OUYANG Zi-gen.Oscillatory criteria of high-order nonlinear neutral partial differential equations with continuous distribution delay[J].Journal of Lanzhou University of Technology,2006,32(5):139-142. |
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| Authors: | LUO Li-ping OUYANG Zi-gen |
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| Affiliation: | 1. Dept. of Math. , Hengyang Normal University, Hengyang 421008, China; 2. Dept. of Math. , Nanhua University, Hengyang 421001, China |
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| Abstract: | The oscillation of solutions for a class of high-order nonlinear neutral partial differential equations with continuous distribution delay was investigated.The oscillatory criteria of their solutions was given under two kinds of boundary conditions. |
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| Keywords: | high-order partial differential equation nonlinear neutral type oscillation continuous distribution delay |
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