| 具连续分布滞量的中立型向量抛物偏泛函微分方程的H-振动性 |
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| 引用本文： | 罗李平.具连续分布滞量的中立型向量抛物偏泛函微分方程的H-振动性[J].数学的实践与认识,2008,38(11):158-162. |
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| 作者姓名： | 罗李平 |
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| 作者单位： | 衡阳师范学院,数学系,湖南,衡阳,421008 |
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| 基金项目： | 湖南省自然科学基金
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湖南省教育厅科研项目 |
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| 摘 要： | 研究一类具连续分布滞量的中立型向量抛物偏泛函微分方程的H-振动性,利用向量的内积和Green公式,获得了该类方程在Dirichlet边值条件下所有解H-振动的充分判据,这里H是Rm中的单位向量.
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| 关 键 词： | 中立型 向量 抛物型偏泛函微分方程 H-振动性 连续分布滞量 |
| 修稿时间： | 2007年7月14日 |
H-oscillation of Neutral Vector Parabolic Partial Functional Differential Equations with Continuous Distribution Delay |
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| LUO Li-ping.H-oscillation of Neutral Vector Parabolic Partial Functional Differential Equations with Continuous Distribution Delay[J].Mathematics in Practice and Theory,2008,38(11):158-162. |
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| Authors: | LUO Li-ping |
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| Abstract: | The H-oscillation of a class of neutral vector parabolic partial functional differential equations with continuous distribution delay is studied.By employing the scalar product of vector and Green′s formula,the sufficient criteria for the H-oscillation of all solutions of the equations are obtained under Dirichlet boundary value condition,where H is a unit vector of Rm. |
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| Keywords: | neutral type vector parabolic partial functional differential equation H-oscillation continuous distribution delay |
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