| 时间尺度上三阶Emden-Fowler动力方程的振动准则 |
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| 引用本文： | 刘一龙.时间尺度上三阶Emden-Fowler动力方程的振动准则[J].浙江大学学报(理学版),2014,41(3):268-274. |
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| 作者姓名： | 刘一龙 |
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| 作者单位： | 邵阳学院理学与信息科学系; |
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| 基金项目： | 国家自然科学基金资助项目(11071066);湖南省教育厅科研基金资助项目(10C1188) |
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| 摘 要： | 研究了时间尺度上的三阶Emden-Fowler动力方程的振动性,通过引入参数函数和广义的Riccati变换技巧,借助时间尺度上的有关理论,得到了该动力方程振动性的几个充分条件,所得结果推广和改进了现有文献的相关结果.
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| 关 键 词： | 振动性 三阶 时滞动力方程 时间尺度 |
| 收稿时间： | 2013-03-13; |
Oscillation criteria for third order Emden Fowler delay dynamic equations on time scales |
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| LIU Yilong.Oscillation criteria for third order Emden Fowler delay dynamic equations on time scales[J].Journal of Zhejiang University(Sciences Edition),2014,41(3):268-274. |
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| Authors: | LIU Yilong |
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| Institution: | LIU Yilong (Department of Science and Information, Shaoyang University, Shaoyang 422004, Hunan Province, China) |
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| Abstract: | The oscillation for third-order Emden-Fowler delay dynamic equations on time scale is discussed. Using the time scale theory and the generalized Riccati transformation technique, some sufficient conditions for oscillation of the third order Emden-Fowler delay dynamic equations on time scale are obtained. The results improve and generalize the related results in published. |
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| Keywords: | oscillation third-order delay dynamic equations time scales |
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