| 二阶非线性中立型时滞微分方程的振动性 |
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| 引用本文： | 仉志余,俞元洪,李淑萍,乔士柱.二阶非线性中立型时滞微分方程的振动性[J].数学物理学报(A辑),2019(4):797-811. |
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| 作者姓名： | 仉志余 俞元洪 李淑萍 乔士柱 |
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| 作者单位： | 太原工业学院理学系;中国科学院数学与系统科学研究院;中北大学理学院 |
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| 基金项目： | 国家自然科学基金(11701528,11647034);山西省自然科学基金(2011011002-3)~~ |
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| 摘 要： | 该文研究一类二阶非线性中立型时滞微分方程的振动性,利用双Riccati变换和不等式技巧,得到了所研究方程一切解振动的若干新的充分条件.所得结果推广、改进和统一了最近文献中关于半线性、非线性泛函微分方程和广义Emden-Fowler方程的振动定理.同时也给出了主要定理的相应示例.
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| 关 键 词： | 二阶非线性微分方程 半线性微分方程 EMDEN-FOWLER方程 中立型 RICCATI变换 振动准则 |
Oscillation of Second Order Nonlinear Differential Equations with Neutral Delay |
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| Zhang Zhiyu,Yu Yuanhong,Li Shuping,Qiao Shizhu.Oscillation of Second Order Nonlinear Differential Equations with Neutral Delay[J].Acta Mathematica Scientia,2019(4):797-811. |
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| Authors: | Zhang Zhiyu Yu Yuanhong Li Shuping Qiao Shizhu |
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| Institution: | (Department of Sciences, Taiyuan Institute of Technology, Taiyuan 030008;Academy of Mathematics and Systems Science, Chinese Academy of Sciences,Beijing 100190;Department of Mathematics, North University of China, Taiyuan 030051) |
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| Abstract: | Zhang Zhiyu;Yu Yuanhong;Li Shuping;Qiao Shizhu(Department of Sciences, Taiyuan Institute of Technology, Taiyuan 030008;Academy of Mathematics and Systems Science, Chinese Academy of Sciences,Beijing 100190;Department of Mathematics, North University of China, Taiyuan 030051) |
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| Keywords: | Second order nonlinear differential equation Half linear differential equation Emden-Fowler equation Neutral Riccati transformation Oscillation criterion |
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