| 非线性中立型时滞抛物微分方程解的振动性 |
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| 引用本文： | 刘克英,徐少贤.非线性中立型时滞抛物微分方程解的振动性[J].南阳师范学院学报,2004,3(9):1-5. |
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| 作者姓名： | 刘克英 徐少贤 |
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| 作者单位： | 1. 中国地质大学,数理系,湖北武汉,430074;南阳师范学院,数学系,河南南阳,473061
2. 南阳师范学院,数学系,河南南阳,473061 |
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| 基金项目： | 国家自然科学基金 (项目编号 :40 3 73 0 0 3 )资助项目 |
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| 摘 要： | 研究一类多滞量的非线性中立型抛物微分方程解的振动性，利用一阶泛函微分不等式的结果得到一些判断方程的解振动的务件．结果充分表明振动是由时滞引起的，并揭示了这类方程和普通的抛物型偏微分方程的本质差异。
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| 关 键 词： | 振动 时滞 抛物 中立 微分不等式 |
| 文章编号： | 1671-6132(2004)09-0001-05 |
| 修稿时间： | 2004年5月20日 |
Oscillations of Some Nonlinear Neutral Parabolic Delay Differential Equations |
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| LIU Ke-ying.Oscillations of Some Nonlinear Neutral Parabolic Delay Differential Equations[J].Journal of Nanyang Teachers College,2004,3(9):1-5. |
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| Authors: | LIU Ke-ying |
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| Institution: | LIU Ke-ying~ |
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| Abstract: | This paper deals with the oscillatory properties of a class of nonlinear neutral parabolic partial differential equations with several delays. Sufficient criteria for the equation to be oscillatory are obtained by making use of some results of first-order functional differential inequalities. These results fully reveal the oscillation caused by delays and the essential difference between this type and that without delays. |
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| Keywords: | oscillation delay parabolic neutral differential inequalities |
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