[1]曹君艳,王全义.一类具多时滞二阶非线性微分方程的周期解[J].华侨大学学报(自然科学版),2012,33(3):348-353.[doi:10.11830/ISSN.1000-5013.2012.03.0348]
　CAO Jun-yan,WANG Quan-yi.Periodic Solutions for Second-Order Differential Equations with Deviating Arguments[J].Journal of Huaqiao University(Natural Science),2012,33(3):348-353.[doi:10.11830/ISSN.1000-5013.2012.03.0348]
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一类具多时滞二阶非线性微分方程的周期解()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第33卷
期数:
2012年第3期
页码:
348-353
栏目:
出版日期:
2012-05-20

文章信息/Info

Title:
Periodic Solutions for Second-Order Differential Equations with Deviating Arguments
文章编号:
1000-5013(2012)03-0348-06
作者:
曹君艳; 王全义
华侨大学数学科学学院
Author(s):
CAO Jun-yan;  WANG Quan-yi
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
泛函微分方程;  重合度理论;  可变时滞;  周期解
Keywords:
nonlinear differential equation;  coincidence degree theory;  deviating argument;  periodic solution
分类号:
O175
DOI:
10.11830/ISSN.1000-5013.2012.03.0348
文献标志码:
A
摘要:
研究一类具有多变时滞的二阶非线性微分方程x″(t)+f1(x(t))x′(t)+f2(x(t-τ1(t)))(x′(t))2+g(t,x(t-τ2(t)))的周期解的存在性问题.利用重合度理论中的连续定理和一些分析技巧,得到该方程存在周期解的一些新结果,所得结果推广和改进了刘斌的结果.
Abstract:
In this paper,we study the problem on the existence of periodic solutions for a class of nonlinear second-order differential equations with deviating arguments x″(t)+f1(x(t))x′(t)+f2(x(t-τ1(t)))(x′(t))2+g(t,x(t-τ2(t))).By means of the continuation theorem of coincidence degree theory and some analysis techniques,we obtain some news results on the existence of periodic solutions for the equations.Our results generalize and improve the one made by Liu Bin.

参考文献/References:

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备注/Memo

备注/Memo:
国务院侨办科研基金资助项目(09QZR10)
更新日期/Last Update: 2014-03-23