| 非线性脉冲中立型时滞抛物方程解的振动性质 |
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| 引用本文： | 罗李平,彭白玉.非线性脉冲中立型时滞抛物方程解的振动性质[J].数学的实践与认识,2009,39(13). |
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| 作者姓名： | 罗李平 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,421008 |
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| 基金项目： | 湖南省教育厅资助科研项目 |
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| 摘 要： | 研究一类非线性脉冲中立型时滞抛物方程,借助于一阶脉冲中立型微分不等式,获得了该类方程在Robin,Dirichlet边值条件下所有解振动的若干新的充分性判据.所得结果充分反映了脉冲和时滞在振动中的影响作用.
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| 关 键 词： | 脉冲 非线性 中立型 时滞抛物型方程 振动性 |
Oscillation of Solutions of Nonlinear Impulsive Neutral Delay Parabolic Equations |
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| LUO Li-ping,PENG Bai-yu.Oscillation of Solutions of Nonlinear Impulsive Neutral Delay Parabolic Equations[J].Mathematics in Practice and Theory,2009,39(13). |
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| Authors: | LUO Li-ping PENG Bai-yu |
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| Abstract: | A class of nonlinear impulsive neutral delay parabolic equations are studied and some new sufficient criteria for oscillation of all solutions of the equations are obtained under Robin and Dirichlet boundary value condition by using impulsive neutral differential inequalities of first order. These results fully reflect the influence action of impulse and delay in oscillation. |
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| Keywords: | impulse nonlinear neutral type delay parabolic equation oscillation |
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