| 具连续分布滞量的非线性中立型抛物偏泛函微分方程的振动性 |
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| 引用本文： | 罗李平,高正晖,欧阳自根.具连续分布滞量的非线性中立型抛物偏泛函微分方程的振动性[J].应用数学,2006,19(3):651-655. |
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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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| 摘 要： | 考虑一类具连续分布滞量的非线性中立型抛物偏泛函微分方程解的振动性,借助Green定理和时滞微分不等式获得了这类方程在Robin,Dirichlet边值条件下所有解振动的若干充分条件.
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| 关 键 词： | 非线性 中立型 抛物型偏泛函微分方程 振动性 连续分布滞量 |
| 文章编号： | 1001-9847(2006)03-0651-05 |
| 收稿时间： | 2006-01-11 |
| 修稿时间： | 2006年1月11日 |
Oscillation of Nonlinear Neutral Parabolic Partial Functional Differential Equations with Continuous Distribution Delay |
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| LUO Li-ping,GAO Zheng-hui,OUYANG Zi-gen.Oscillation of Nonlinear Neutral Parabolic Partial Functional Differential Equations with Continuous Distribution Delay[J].Mathematica Applicata,2006,19(3):651-655. |
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| Authors: | LUO Li-ping GAO Zheng-hui OUYANG Zi-gen |
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| Institution: | 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 nonlinear neutral parabolic partial functional differential equations with continuous distribution delay is considered in this paper.Some sufficient conditions are obtained for oscillation of solutions of the equations under Robin and Dirichlet boundary value conditions by employing Green's theorem and delay differential inequalities. |
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| Keywords: | Nonlinear Neutral Parabolic partial functional differential equation Oscillation Continuous distribution delay |
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