| 具可变时滞的二阶非线性中立型泛函微分方程的振动性 |
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| 引用本文： | 杨甲山. 具可变时滞的二阶非线性中立型泛函微分方程的振动性[J]. 浙江大学学报(理学版), 2016, 43(3): 257-263. DOI: 10.3785/j.issn.1008-9497.2016.03.002 |
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| 作者姓名： | 杨甲山 |
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| 作者单位： | 梧州学院 信息与电子工程学院, 广西 梧州 543002 |
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| 基金项目： | 广西壮族自治区教育厅科研项目(2013YB223);国家青年科研基金资助项目(61503171);梧州学院2014年校级科研重大项目(2014A003);硕士学位授予单位立项建设项目(桂学位[2013]4号). |
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| 摘 要： | 研究一类非线性的具有可变时滞的二阶中立型泛函微分方程的振动性,利用Riccati变换技术及不等式分析技巧,获得了该方程振动的2个新的判别准则,所举例子说明这些准则是方程振动的"sharp"条件.
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| 关 键 词： | 振动性 变时滞 泛函微分方程 Riccati变换 |
| 收稿时间： | 2015-08-16 |
Oscillation of certain second-order nonlinear neutral functional differential equations with variable delay |
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| YANG Jiashan. Oscillation of certain second-order nonlinear neutral functional differential equations with variable delay[J]. Journal of Zhejiang University(Sciences Edition), 2016, 43(3): 257-263. DOI: 10.3785/j.issn.1008-9497.2016.03.002 |
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| Authors: | YANG Jiashan |
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| Affiliation: | School of Information and Electronic Engineering, Wuzhou University, Wuzhou 543002, Guangxi Zhuang Autonomous Region, China |
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| Abstract: | We study the oscillatory behavior of a class of second-order nonlinear neutral functional differential equations with variable delay. By using the generalized Riccati transformation and the inequality technique, we establish two new oscillation criteria for the oscillation of the equations. The examples are provided to illustrate that our result gives a sharper estimate for the oscillation of the equations. |
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| Keywords: | oscillation variable delay functional differential equation Riccati transformation |
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