[1]陈应生.一类二阶具偏差变元微分方程周期解[J].华侨大学学报(自然科学版),2012,33(4):467-471.[doi:10.11830/ISSN.1000-5013.2012.04.0467]
　CHEN Ying-sheng.Periodic Solutions for a Class of Second Order Differential Equation with Deviating Arguments[J].Journal of Huaqiao University(Natural Science),2012,33(4):467-471.[doi:10.11830/ISSN.1000-5013.2012.04.0467]
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一类二阶具偏差变元微分方程周期解()
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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4期
页码:
467-471
栏目:
出版日期:
2012-07-20

文章信息/Info

Title:
Periodic Solutions for a Class of Second Order Differential Equation with Deviating Arguments
文章编号:
1000-5013(2012)04-0467-05
作者:
陈应生
华侨大学 数学科学学院, 福建 泉州 362021
Author(s):
CHEN Ying-sheng
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
微分方程;  周期解;  重合度;  偏差变元
Keywords:
differential equation;  periodic solution;  coincidence degree;  deviating arguments
DOI:
10.11830/ISSN.1000-5013.2012.04.0467
文献标志码:
A
摘要:
研究具有偏差变元的二阶微分方程x″(t)+h(x’(t))+f(x(t))x’(t)+g(t,x(t-τ(t)))=p(t)的周期解的存在性问题,利用重合度理论,在满足一定条件下,得到方程至少存在一个周期解的新结果.
Abstract:
In this paper, we study the problem on the existence of periodic solutions for a class of second order differential equations x″(t)+h(x’(t))+f(x(t))x’(t)+g(t,x(t-τ(t)))=p(t).By means of the coincidence degree theory, one new result is obtained under some conditions.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期: 2011-09-21
通信作者: 陈应生(1976-),男,讲师,主要从事常微分及泛函微分方程的研究.E-mail:cyssheng@hqu.edu.cn.
基金项目: 国务院侨办科研基金资助项目(09QZR10); 福建省自然科学基金资助项目(Z0511026)
更新日期/Last Update: 2012-07-20