| 脉冲时滞抛物型偏微分方程组解的振动性 |
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| 引用本文： | 罗李平,高正晖,欧阳自根.脉冲时滞抛物型偏微分方程组解的振动性[J].应用泛函分析学报,2007,9(4):343-348. |
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| 作者姓名： | 罗李平 高正晖 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： | 湖南省自然科学基金;湖南省教育厅科研项目 |
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| 摘 要： | 研究一类脉冲时滞抛物型偏微分方程组解的振动性,利用一阶脉冲时滞微分不等式获得了该类方程组在两类不同边值条件下所有解振动的若干充分条件.所得结果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 时滞 抛物型偏微分方程组 振动性 |
| 文章编号： | 1009-1327(2007)04-0343-06 |
| 修稿时间： | 2005年11月28 |
Oscillation Theorem of Systems of a Class of Impulsive Delay Parabolic Partial Differential Equations |
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| LUO Li-ping,GAO Zheng-hui,OUYANG Zi-gen.Oscillation Theorem of Systems of a Class of Impulsive Delay Parabolic Partial Differential Equations[J].Acta Analysis Functionalis Applicata,2007,9(4):343-348. |
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| Authors: | LUO Li-ping GAO Zheng-hui OUYANG Zi-gen |
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| Abstract: | The oscillation of solutions of the systems of a class of impulsive delay parabolic partial differential equations is studied.Some sufficient criteria for the oscillation of all solutions of the systems are obtained under two kinds of different boundary conditions by using impulsive delay differential inequalities of first order.The results fully reflect the influence action of impulsive and delay in oscillation. |
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| Keywords: | impulse delay system of parabolic partial differential equations oscillation |
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