| 时间模上三阶非线性时滞动态方程的振动性 |
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| 引用本文： | 杨甲山,张晓建.时间模上三阶非线性时滞动态方程的振动性[J].浙江大学学报(理学版),2014,41(3):275-281. |
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| 作者姓名： | 杨甲山 张晓建 |
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| 作者单位： | 梧州学院数理系;邵阳学院理学与信息科学系; |
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| 基金项目： | 湖南省自然科学基金资助项目(12JJ6006);湖南省科技厅基金资助项目(2012FJ3107);湖南省教育厅科研资助项目(10Cl189);广西省教育厅科研资助项目(2013YB223) |
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| 摘 要： | 研究了时间模上的一类非线性三阶中立型变时滞动态方程的振动性,运用Riccati变换技术及大量不等式技巧,得到了该方程振动的充分条件,推广并改进了现有文献中的一些已知结果,并用具体例子说明主要结论.
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| 关 键 词： | 振动性 时间模 三阶时滞动态方程 Riccati变换 不等式技巧 |
| 收稿时间： | 2013-07-01; |
Oscillation for third order nonlinear delay dynamic equations on time scales |
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| YANG Jiashan,ZHANG Xiaojian.Oscillation for third order nonlinear delay dynamic equations on time scales[J].Journal of Zhejiang University(Sciences Edition),2014,41(3):275-281. |
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| Authors: | YANG Jiashan ZHANG Xiaojian |
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| Institution: | 1. Department of Mathematics and Physics, Wuzhou University, Wuzhou 543002, Guangxi Zhuang Autonmous Region, China; 2. Department of Science and Information, Shaoyang Uni- versity, Shaoyang 422004, Hunan Province, China) |
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| Abstract: | The oscillation for certain third-order nonlinear neutral variable delay dynamic equations on time scales is discussed. By using the generalized Riccati transformation and a lot of inequality techniques, some sufficient conditions are obtained for oscillation of the equations. The results extend and improve some known results. Examples are given to illustrate the main results |
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| Keywords: | oscillation time scales third-order delay dynamic equations Riccati transformation inequality techniques |
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