| 基于脉冲影响的向量双曲型方程的振动性 |
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| 引用本文： | 罗李平,杨柳,王艳群.基于脉冲影响的向量双曲型方程的振动性[J].浙江大学学报(理学版),2012,39(3):257-260. |
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| 作者姓名： | 罗李平 杨柳 王艳群 |
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| 作者单位： | 衡阳师范学院数学与计算科学系,湖南衡阳,421002 |
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| 基金项目： | 湖南省“十二五”重点建设学科资助项目;湖南省自然科学衡阳联合基金项目(11JJ9002);衡阳师范学院基础数学重点学科资助项目(院财字[2010]4号) |
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| 摘 要： | 研究一类基于脉冲影响的向量双曲型偏微分方程的振动性,利用H-振动的概念及脉冲微分不等式,建立了该类方程在Dirichlet边值条件下所有解H-振动的若干充分条件,这里H是Rm中的单位向量.
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| 关 键 词： | h-振动 向量 双曲型偏微分方程 脉冲 |
Oscillation for vector hyperbolic equations based on influence of impulse |
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| LUO Li-ping
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YANG Liu
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WANG Yan-qun.Oscillation for vector hyperbolic equations based on influence of impulse[J].Journal of Zhejiang University(Sciences Edition),2012,39(3):257-260. |
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| Authors: | LUO Li-ping YANG Liu WANG Yan-qun |
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| Institution: | (Department of Mathematics and Computational Science,Hengyang Normal University,Hengyang 421002,Hunan Province,China) |
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| Abstract: | The oscillations for a class of vector hyperbolic partial differential equations based on the influence of impulse are investigated.By using the concept of H-oscillation and impulsive differential inequalities,some sufficient conditions are established for H-oscillation of all solutions of such equations under Dirichlet boundary value condition,where H is a unit vector of Rm. |
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| Keywords: | H-oscillation vector hyperbolic partial differential equation impulse |
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