[1]张莉,王全义.一类二阶中立型泛函微分方程周期解的存在性[J].华侨大学学报(自然科学版),2006,27(2):126-129.[doi:10.3969/j.issn.1000-5013.2006.02.004]
　Zhang Li,Wang Quanyi.On the Existence of Periodic Solutions for the Second Order Neutral Functional Differential Equation[J].Journal of Huaqiao University(Natural Science),2006,27(2):126-129.[doi:10.3969/j.issn.1000-5013.2006.02.004]
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一类二阶中立型泛函微分方程周期解的存在性()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第27卷
期数:
2006年第2期
页码:
126-129
栏目:
出版日期:
2006-04-20

文章信息/Info

Title:
On the Existence of Periodic Solutions for the Second Order Neutral Functional Differential Equation
文章编号:
1000-5013(2006)02-0126-04
作者:
张莉; 王全义
华侨大学数学系; 华侨大学数学系 福建 泉州 362021; 福建 泉州 362021
Author(s):
Zhang Li;  Wang Quanyi
Department of Mathematics, Huaqiao University, 362021, Quanzhou, China
关键词:
中立型泛函微分方程;  周期解;  存在性;  k-集压缩算子
Keywords:
neutral functional differential equation;  periodic solution;  existence;  k-set contraction operator
分类号:
O177.91
DOI:
10.3969/j.issn.1000-5013.2006.02.004
文献标志码:
A
摘要:
利用一些分析技巧及k-集压缩算子的抽象连续性原理,研究一类二阶中立型泛函微分方程周期解的存在性,得到保证该类方程周期解存在的充分条件.
Abstract:
In this paper, the existence of periodic solutions for a class of second order neutral functional differential equations is investigated by using some analytical techniques and the abstract continuation theory of k-set contractive operator. One sufficient condition is obtained.

参考文献/References:

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相似文献/References:

[1]王全义.一类周期微分系统的同期解[J].华侨大学学报(自然科学版),1993,14(1):12.[doi:10.11830/ISSN.1000-5013.1993.01.0012]
　Wang Quanyi.Periodic Solutions for a Class of Periodic Differential Systems[J].Journal of Huaqiao University(Natural Science),1993,14(2):12.[doi:10.11830/ISSN.1000-5013.1993.01.0012]
[2]王全义.纯量Volterra积分微分方程的周期解[J].华侨大学学报(自然科学版),1994,15(2):127.[doi:10.11830/ISSN.1000-5013.1994.02.0127]
　Wang Quanyi.Periodic Solution of a Scalar Volterra Integrodifferential Equation[J].Journal of Huaqiao University(Natural Science),1994,15(2):127.[doi:10.11830/ISSN.1000-5013.1994.02.0127]
[3]王全义.一类高维周期系统的周期解[J].华侨大学学报(自然科学版),1994,15(4):363.[doi:10.11830/ISSN.1000-5013.1994.04.0363]
　Wang Quanyi.Periodic Solutions to One Class of Higher Dimensional Periodic Systems[J].Journal of Huaqiao University(Natural Science),1994,15(2):363.[doi:10.11830/ISSN.1000-5013.1994.04.0363]
[4]王全义.非线性周期系统的不稳定周期解[J].华侨大学学报(自然科学版),1995,16(2):121.[doi:10.11830/ISSN.1000-5013.1995.02.0121]
　Wang Quanyi.Unstable Periodic Solutions of Nonlinear Periodic Systems[J].Journal of Huaqiao University(Natural Science),1995,16(2):121.[doi:10.11830/ISSN.1000-5013.1995.02.0121]
[5]王全义.纯量微分积分方程的周期解[J].华侨大学学报(自然科学版),1995,16(4):353.[doi:10.11830/ISSN.1000-5013.1995.04.0353]
　Wang Quanyi.Periodic Solutions of Scalar Integrodifferential Equations[J].Journal of Huaqiao University(Natural Science),1995,16(2):353.[doi:10.11830/ISSN.1000-5013.1995.04.0353]
[6]王全义.具有无限时滞的微积分方程的周期解的存在性与唯一性[J].华侨大学学报(自然科学版),1996,17(4):336.[doi:10.11830/ISSN.1000-5013.1996.04.0336]
　Wang Quanyi.Existence and Uniqueness of Periodic Solution to the Integro-Differential Equation with infinite Time-Lag[J].Journal of Huaqiao University(Natural Science),1996,17(2):336.[doi:10.11830/ISSN.1000-5013.1996.04.0336]
[7]王全义.一个造血模型周期解的存在性及唯一性[J].华侨大学学报(自然科学版),1997,18(1):11.[doi:10.11830/ISSN.1000-5013.1997.01.0011]
　Wang Quanyi.Existence and Uniqueness of Periodic Solution to a Hematopoiesis Model[J].Journal of Huaqiao University(Natural Science),1997,18(2):11.[doi:10.11830/ISSN.1000-5013.1997.01.0011]
[8]王全义.一个造血模型周期解的稳定性[J].华侨大学学报(自然科学版),1997,18(3):219.[doi:10.11830/ISSN.1000-5013.1997.03.0219]
　Wang Quanyi.Stability of Periodic Solution to a Hematopoiesis Model[J].Journal of Huaqiao University(Natural Science),1997,18(2):219.[doi:10.11830/ISSN.1000-5013.1997.03.0219]
[9]王全义.线性微分积分方程的周期解[J].华侨大学学报(自然科学版),2001,22(2):117.[doi:10.3969/j.issn.1000-5013.2001.02.002]
　Wang Quanyi.Periodic Solution to Integrodifferential Equation[J].Journal of Huaqiao University(Natural Science),2001,22(2):117.[doi:10.3969/j.issn.1000-5013.2001.02.002]
[10]王全义.线性积分微分方程的周期解的存在唯一性[J].华侨大学学报(自然科学版),2002,23(2):111.[doi:10.3969/j.issn.1000-5013.2002.02.001]
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[11]张莉,王全义.具有偏差变元的二阶中立型泛函微分方程周期解[J].华侨大学学报(自然科学版),2007,28(4):437.[doi:10.3969/j.issn.1000-5013.2007.04.027]
　ZHANG Li,WANG Quan-yi.Periodic Solutions for the Second Order Neutral Functional Differential Equation with Deviating Arguments[J].Journal of Huaqiao University(Natural Science),2007,28(2):437.[doi:10.3969/j.issn.1000-5013.2007.04.027]

备注/Memo

备注/Memo:
福建省自然科学基金资助项目(Z0511026)
更新日期/Last Update: 2014-03-23