| 非线性中立型抛物微分方程解的振动性 |
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| 引用本文： | LIU Ke-ying XU Shao-xian LIU An-ping. 非线性中立型抛物微分方程解的振动性[J]. 数学季刊, 2005, 20(4): 342-349 |
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| 作者姓名： | LIU Ke-ying XU Shao-xian LIU An-ping |
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| 作者单位： | [1]Department of Mathematics, Nanyang Teacher＇s College, Nanyang 473061, China [2]School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China（40373003, 40372121）;Supported by the Youth Foundation of Cina University of Geosciences（CUGQNL0517） |
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| 摘 要： | 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 essential difference between this type and that without delays.
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| 关 键 词： | 非线性中立型抛物微分方程 方程解 振动性 泛函分析 |
| 文章编号： | 1002-0462（2005）04-0342-08 |
| 收稿时间： | 2003-12-29 |
Oscillation of Solutions of Nonlinear Neutral Parabolic Differential Equations |
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| LIU;Ke-ying;XU;Shao-xian;LIU;An-ping. Oscillation of Solutions of Nonlinear Neutral Parabolic Differential Equations[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(4): 342-349 |
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| Authors: | LIU Ke-ying XU Shao-xian LIU An-ping |
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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 essential difference between this type and that without delays, |
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| Keywords: | oscillation delay parabolic nonlinear |
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