| 具比例时滞的二阶非线性中立型微分方程解的定性性质 |
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| 引用本文： | 关开中,王龙洪.具比例时滞的二阶非线性中立型微分方程解的定性性质[J].衡阳师专学报,2011(3):1-5. |
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| 作者姓名： | 关开中 王龙洪 |
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| 作者单位： | 南华大学数理学院,湖南衡阳421001 |
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| 基金项目： | 国家自然科学基金资助项目（10771094）; 湖南省教育厅重点资助项目（09A080） |
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| 摘 要： | 研究具有比例时滞和正负系数的二阶非线性中立型微分方程x（t）±r（t）f（x（αt））]″＋p（t）g（x（tβ））-q（t）h（x（tγ））=0,建立方程解的振动以及非振动解渐近稳定的充分条件。
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| 关 键 词： | 中立型微分方程 非线性 比例时滞 振动性 渐近性 |
Qualitative Properties of Solutions of Second-Order Nonlinear Neutral Differential Equations with Pantograph Delays |
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| GUAN Kai-zhong,WANG Long-hong.Qualitative Properties of Solutions of Second-Order Nonlinear Neutral Differential Equations with Pantograph Delays[J].Journal of Hengyang Normal University,2011(3):1-5. |
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| Authors: | GUAN Kai-zhong WANG Long-hong |
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| Institution: | (School of Mathematics and Physics,University of South China,Hengyang Hunan 421001,China) |
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| Abstract: | This paper is concerned with second-order nonlinear neutral differential equations with pantograph delays and positive and negative cofficients of the formx（t）±r（t）f（x（αt））]″＋p（t）g（x（βt））-q（t）h（x（γt））=0.Some sufficient conditions for the oscillation of all solutions and the asymptotic behaviour of nonoscillatory solutions are obtained. |
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| Keywords: | neutral differential equation nonlinear pantograph delay oscillation asymptotic behaviour |
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