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| 二阶Emden-Fowler型非线性变时滞微分方程的振荡准则 | |
| 引用本文： | 杨甲山.二阶Emden-Fowler型非线性变时滞微分方程的振荡准则[J].浙江大学学报(理学版),2017,44(2):144-149. |
| 作者姓名： | 杨甲山 |
| 作者单位： | 1. 梧州学院 信息与电子工程学院, 广西 梧州 543002; 2. 梧州学院 复杂系统仿真与智能计算实验室, 广西 梧州 543002 |
| 基金项目： | 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）；广西教育厅科研项目（2013YB223）. |
| 摘 要： | 研究了一类具有变时滞的二阶Emden-Fowler型非线性中立型泛函微分方程的振荡性.借助Riccati变换、积分平均技术和微分不等式等技巧,获得了该类方程振荡的新判别准则和比较判别定理,推广、改进并丰富了现有文献中的结果. |
| 关 键 词： | 振荡性 变时滞 泛函微分方程 Riccati变换 |
| 收稿时间： | 2016-03-26 |
Oscillation criteria of second-order Emden-Fowler nonlinear variable delay differential equations |
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| YANG Jiashan.Oscillation criteria of second-order Emden-Fowler nonlinear variable delay differential equations[J].Journal of Zhejiang University(Sciences Edition),2017,44(2):144-149. | |
| Authors: | YANG Jiashan |
| Institution: | 1. School of Information and Electronic Engineering, Wuzhou University, Wuzhou 543002, Guangxi Zhuang Autonomous Region, China; 2. Laboratory of Complex Systems Simulation and Intelligent Computing, Wuzhou University, Wuzhou 543002, Guangxi Zhuang Autonomous Region, China |
| Abstract: | The purpose of this article is to study the oscillatory behavior of second-order Emden-Fowler nonlinear neutral functional differential equations with variable delay. By using the Riccati transformation, integral averaging technique and differential inequalities, we established a new oscillation criteria and a comparison theorem for the oscillation of the equations. These criteria dealing with some cases have not been covered by the existing results in the literature. |
| Keywords: | oscillation variable delay functional differential equation Riccati transformation |
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