| 非线性脉冲中立型抛物方程振动性的新准则 |
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| 引用本文： | 李元旦,高正晖,彭白玉.非线性脉冲中立型抛物方程振动性的新准则[J].科技导报(北京),2011,29(22):61-63. |
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| 作者姓名： | 李元旦 高正晖 彭白玉 |
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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： | 湖南省教育厅科学研究计划项目(09C171) |
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| 摘 要： | 考虑一类具高阶Laplace算子的非线性脉冲中立型抛物微分方程的振动性,利用一阶脉冲中立型微分不等式,建立了该类方程在Robin边值条件下所有解振动的若干新的充分条件。所得结果推广和包含了已有的相应结论。
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| 关 键 词： | 脉冲 非线性中立型 抛物微分方程 振动准则 高阶Laplace算子 |
New Criteria for Oscillation of Nonlinear Impulsive Neutral Parabolic Equations |
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| LI Yu,an,GAO Zhenghui,PENG Baiyu.New Criteria for Oscillation of Nonlinear Impulsive Neutral Parabolic Equations[J].Science & Technology Review,2011,29(22):61-63. |
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| Authors: | LI Yu an GAO Zhenghui PENG Baiyu |
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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 oscillation of a class of nonlinear impulsive neutral parabolic differential equations with higher order Laplace operators is considered. By using the first order impulsive delay differential inequalities, some new sufficient conditions for oscillation of all solutions of the equations are established under the Robin boundary value condition. The results in this paper have generalized some existing conclusions. |
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| Keywords: | impulse nonlinear neutral type parabolic differential equation oscillation criteria higher order Laplace operator |
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