| 具非线性扩散系数的中立抛物型方程的振动结果 |
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| 引用本文： | 罗李平,杨柳.具非线性扩散系数的中立抛物型方程的振动结果[J].中国海洋大学学报(自然科学版),2011,41(5):130-132. |
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| 作者姓名： | 罗李平 杨柳 |
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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： | 湖南省自然科学基金项目 |
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| 摘 要： | 研究一类具非线性扩散系数的中立抛物型方程的振动性,利用Green定理和时滞微分不等式,获得了该类方程在Robin边值条件下所有解振动的若干充分性判据。结论充分表明振动是由时滞量引起的。
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| 关 键 词： | 中立型 抛物型方程 振动准则 非线性扩散系数 |
Oscillation Results of Neutral Parabolic Equations with Nonlinear Diffusion Coefficients |
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| LUO Li-Ping,YANG Liu.Oscillation Results of Neutral Parabolic Equations with Nonlinear Diffusion Coefficients[J].Periodical of Ocean University of China,2011,41(5):130-132. |
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| Authors: | LUO Li-Ping YANG Liu |
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| Institution: | LUO Li-Ping,YANG Liu(Department of Mathematics and Computational Science,Hengyang Normal University,Hengyang 421002,China) |
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| Abstract: | The oscillation of a class of neutral parabolic equations with nonlinear diffusion coefficient is studied.By employing Green's theorem and delay differential inequalities,some sufficient criteria are obtained for oscillation of solutions of such equations under Robin boundary value condition.The results fully indicate that the oscillation is caused by delay. |
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| Keywords: | neutral type parabolic equation oscillation criteria nonlinear diffusion coefficient |
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