| 一类脉冲中立型抛物系统振动性 |
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| 引用本文： | 李元旦,高正晖,蔡江涛.一类脉冲中立型抛物系统振动性[J].数学的实践与认识,2012,42(3):205-211. |
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| 作者姓名： | 李元旦 高正晖 蔡江涛 |
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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： | 湖南省自然科学-衡阳联合基金，湖南省教育厅科研计划项目 |
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| 摘 要： | 考虑一类具高阶Laplace算子的脉冲中立型抛物偏微分系统的振动性,借助于一阶脉冲时滞微分不等式,得到了该类系统在Dirichlet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系统振动中的影响作用.
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| 关 键 词： | 振动性 抛物系统 脉冲 中立型 高阶Laplace算子 |
Oscillation of a Class of Impulsive Neutral Parabolic Systems |
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| LI Yuan-dan
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GAO Zheng-hui
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CAI Jiang-tao.Oscillation of a Class of Impulsive Neutral Parabolic Systems[J].Mathematics in Practice and Theory,2012,42(3):205-211. |
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| Authors: | LI Yuan-dan GAO Zheng-hui CAI Jiang-tao |
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| Institution: | (Department of Mathematics and Computational Science,Hengyang Normal University,Hengyang 421002, China) |
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| Abstract: | The oscillation of a class of impulsive neutral parabolic partial differential systems with high order Laplace operator is considered.Some sufficient conditions for the oscillation of all solutions of the systems are obtained under Dirichlet boundary condition via first order impulsive delay differential inequalities.The results fully reflect the influence action of impulsive and delay in system oscillation. |
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| Keywords: | oscillation parabolic systems impulse neutral type high order Laplace operator |
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