| 非线性脉冲中立型时滞抛物偏微分方程的振动性 |
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| 引用本文： | 罗李平,欧阳自根.非线性脉冲中立型时滞抛物偏微分方程的振动性[J].吉林大学学报(理学版),2007,45(1):23-28. |
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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, 湖南省 衡阳 421008; 2. 南华大学 数学系, 湖南省 衡阳 421001 |
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| 摘 要： | 研究一类非线性脉冲中立型时滞抛物偏微分方程解的振动性, 借助一阶脉冲中立型微分不等式, 获得了该类方程在两类不同边值条件下振动的若干新的充分性判据. 所得结果改进了已有的结果, 且充分反映了脉冲和时滞在振动中的影响作用.
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| 关 键 词： | 脉冲 非线性中立型 时滞抛物偏微分方程 振动 |
| 文章编号： | 1671-5489(2007)01-0023-06 |
| 收稿时间： | 2006-03-29 |
| 修稿时间： | 2006年3月29日 |
Oscillation of Nonlinear Impulsive Neutral Delay Parabolic Partial Differential Equations |
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| LUO Li-ping,OUYANG Zi-gen.Oscillation of Nonlinear Impulsive Neutral Delay Parabolic Partial Differential Equations[J].Journal of Jilin University: Sci Ed,2007,45(1):23-28. |
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| Authors: | LUO Li-ping OUYANG Zi-gen |
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| Institution: | 1. Department of Mathematics, Hengyang Normal University, Hengyang 421008, Hunan Province, China;2. Department of Mathematics, Nanhua University, Hengyang 421001, Hunan Province, China |
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| Abstract: | The present paper deals with oscillatory properties of solutions for a class of nonlinear impulsive neutral delay parabolic partial differential equations and some new sufficient criteria for oscillation of the equations are obtained under Robin and Dirichlet boundary value conditions via impulsive neutral differential inequalities of first order.The results of this paper improve some known ones and fully reflect the influences of impulsive and delay in oscillation. |
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| Keywords: | impulsive nonlinear neutral type delay parabolic partial differential equation oscillation |
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