| 偶数阶半线性阻尼泛函微分方程解的振动准则 |
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| 引用本文： | 曾云辉,杨琦敏,罗李平.偶数阶半线性阻尼泛函微分方程解的振动准则[J].浙江大学学报(理学版),2014,41(3):261-267. |
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| 作者姓名： | 曾云辉 杨琦敏 罗李平 |
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| 作者单位： | 衡阳师范学院数学与计算科学系; |
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| 基金项目： | 湖南省“十二五”重点建设学科“运筹学与控制论”项目资助(湘教发[2011]76号);湖南省教育厅科学基金项目资助(12C0541);衡阳师范学院青年骨干教师培养对象项目资助(2012);2013年湖南省大学生研究性学习和创新性实验计划资助项目(CX1308) |
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| 摘 要： | 研究了一类含有连续分布时滞和阻尼项的偶数阶中立型半线性微分方程.利用Riccati变换、H(t)函数、Yang-不等式、微分不等式技巧等方法，获得了该方程解振动的充分条件，所得结果推广和改进了已有文献的结果.最后举例说明了所得结论的正确性.
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| 关 键 词： | 半线性 泛函微分方程 振动准则 |
| 收稿时间： | 2013-06-09; |
Oscillatory criteria of even order half\|linear functional differential equations with damping |
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| ZENG Yunhui,YANG Qimin,LUO Liping.Oscillatory criteria of even order half\|linear functional differential equations with damping[J].Journal of Zhejiang University(Sciences Edition),2014,41(3):261-267. |
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| Authors: | ZENG Yunhui YANG Qimin LUO Liping |
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| Institution: | (Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang 421008, Hunan Province, China) |
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| Abstract: | Oscillation of even order half-linear neutral functional differential equation with continuous distributed delay arguments and damping terms. By using of Riecati transformation, H（t） function, Yang-inequality and differential inequality skills. Some new sufficient conditions are obtained for oscillation of all solutions of the equation, which generalize and improve some known results. In the end, An example is given to illustrate our main results. |
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| Keywords: | half-linear functional differential equation oscillatory criteria |
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