| 一类具连续分布滞量的二阶非线性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.一类具连续分布滞量的二阶非线性偏微分方程的振动准则[J].科技通报,2007,23(1):11-14,21. |
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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;湖南省教育厅科研项目 |
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| 摘 要： | 讨论了一类具连续分布滞量的二阶非线性偏微分方程在Robin，Dirichlet边界条件下解的振动性，获得了解振动的若干充分条件．主要结果由实例加以阐述．
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| 关 键 词： | 非线性 偏微分方程 振动性 连续分布滞量 |
| 文章编号： | 1001-7119（2007）01-0011-04 |
| 收稿时间： | 2005-09-27 |
| 修稿时间： | 2005-09-27 |
Oscillatory Criteria for a Class of Second Order Nonlinear Partial Differential Equations with Continuous Distribution Delay |
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| LUO Li-ping,OUYANG Zi-gen.Oscillatory Criteria for a Class of Second Order Nonlinear Partial Differential Equations with Continuous Distribution Delay[J].Bulletin of Science and Technology,2007,23(1):11-14,21. |
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| Authors: | LUO Li-ping OUYANG Zi-gen |
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| Institution: | 1. Dept. of Math., Hengyang Normal University, Hengyang Hunan 421008, China; 2. Dept. of Math., Nanhua University, Hengyang Hunan 421001, China |
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| Abstract: | This paper consider the oscillation of a class of second order nonlinear partial differential equations with continuous distribution delay under Robin and Dirichlet boundary value conditions. The sufficient conditions for the oscillation of solutions are obtained. The main results are illustrated by some examples. |
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| Keywords: | nonlinear partial differential equation oscillation continuous distribution delay |
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