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浙江大学学报（理学版）
浙江大学学报（理学版）  2016, Vol. 43 Issue (3): 257-263    DOI: 10.3785/j.issn.1008-9497.2016.03.002
数学与计算机科学     
具可变时滞的二阶非线性中立型泛函微分方程的振动性
杨甲山
梧州学院 信息与电子工程学院, 广西 梧州 543002
Oscillation of certain second-order nonlinear neutral functional differential equations with variable delay
YANG Jiashan
School of Information and Electronic Engineering, Wuzhou University, Wuzhou 543002, Guangxi Zhuang Autonomous Region, China
 全文: PDF(360 KB)  
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.
关键词： 振动性;  变时滞;  泛函微分方程;  Riccati变换    
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.
Key words: oscillation    variable delay    functional differential equation    Riccati transformation
收稿日期: 2015-08-16 出版日期: 2016-03-01
CLC:  O175.7  
基金资助: 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).
作者简介: 杨甲山(1963-),ORCID:http://orcid.org/0000-0002-0340-097X,男,教授,主要从事微分方程的理论与应用研究,E-mail:syxyyjs@163.com.
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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.

YANG Jiashan. Oscillation of certain second-order nonlinear neutral functional differential equations with variable delay. Journal of Zhejiang University (Science Edition), 2016, 43(3): 257-263.

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https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2016.03.002    或    https://www.zjujournals.com/sci/CN/Y2016/V43/I3/257

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