[1]佘志炜,王全义.一类一阶泛函微分方程非平凡周期解的存在性[J].华侨大学学报(自然科学版),2013,34(4):460-465.[doi:10.11830/ISSN.1000-5013.2013.04.0460]
　SHE Zhi-wei,WANG Quan-yi.Existence of Nontrivial Periodic Solutions for a Class of First Order Nonlinear Functional Differential Equations[J].Journal of Huaqiao University(Natural Science),2013,34(4):460-465.[doi:10.11830/ISSN.1000-5013.2013.04.0460]
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一类一阶泛函微分方程非平凡周期解的存在性()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第34卷
期数:
2013年第4期
页码:
460-465
栏目:
出版日期:
2013-07-20

文章信息/Info

Title:
Existence of Nontrivial Periodic Solutions for a Class of First Order Nonlinear Functional Differential Equations
文章编号:
1000-5013(2013)04-0460-06
作者:
佘志炜;  王全义
华侨大学 数学科学学院, 福建 泉州 362021
Author(s):
SHE Zhi-wei;  WANG Quan-yi
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
泛函微分方程;  时滞;  锥;  不动点定理;  非平凡;  周期解
Keywords:
functional differential equation;  delay;  cone;  fixed point theorem;  nontrivial;  periodic solution
分类号:
O175
DOI:
10.11830/ISSN.1000-5013.2013.04.0460
文献标志码:
A
摘要:
利用锥不动点定理及分析技巧, 研究一类一阶时滞泛函微分方程非平凡周期解的存在性问题, 得到该类方程存在非平凡周期解的充分条件.所得结果推广并改进了S. G. KANG和G. ZHANG的研究成果.
Abstract:
In this paper, by employing fixed point theorem in cones and some analysis techniques, we study the problem on the existence of nontrivial periodic solutions for a class of first order nonlinear functional differential equations, and obtain some sufficient conditions which guarantee the existence of nontrivial periodic solutions for the equations. Our results extend and improve the research results made by S. G. KANG and G. ZHANG.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期: 2012-09-23
通信作者: 王全义(1955-),男,教授,主要从事常微分方程和泛函微分方程的研究.E-mail:wqy19555@163.com.
基金项目: 国务院侨办科研基金资助项目(09QZR10)
更新日期/Last Update: 2013-07-20