| 时标上一类三阶非线性中立型时滞动力方程的振动性 |
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| 引用本文： | 王俊俊,赵伟杰.时标上一类三阶非线性中立型时滞动力方程的振动性[J].甘肃科学学报,2012,24(2):9-11. |
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| 作者姓名： | 王俊俊 赵伟杰 |
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| 作者单位： | 河南省平顶山学院数学与信息科学学院,河南平顶山,467000 |
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| 基金项目： | 河南省科技发展计划项目，平顶山学院高层次人才资助项目 |
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| 摘 要： | 给出了时标上一类三阶非线性中立型时滞动力方程有正解的3个性质,并在此基础上利用1个不等式的最终正解而不是采用所常用的Riccati方法给出了其振动性的判别法则,得到1个推论,推广了一些已知的三阶或二阶动力方程振动性的结果.
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| 关 键 词： | 振动性 中立型 时滞 动力方程 时标 |
Oscillation of a Class of Third Order Nonlinear Neutral Delay Dynamic Equations on Time Scales |
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| WANG Jun-jun
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ZHAO Wei-jie.Oscillation of a Class of Third Order Nonlinear Neutral Delay Dynamic Equations on Time Scales[J].Journal of Gansu Sciences,2012,24(2):9-11. |
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| Authors: | WANG Jun-jun ZHAO Wei-jie |
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| Institution: | (School of Mathematics and Information Science , P ingdingshan College, P ingdingshan 467000 ,China) |
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| Abstract: | This paper points out the three natures of their positive solutions and has got the oscillation criteria by using an inequality which has eventually positive solutions rather than by the commonly used Riccati method. Finally a corollary is given. Our results extend many known results for the oscillation of third order or second order nonlinear neutral delay dynamic equations. |
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| Keywords: | oscillation neutral delay dynamic equation time scale |
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