[1]陈应生,汪东树.一阶非线性脉冲微分方程两点边值问题的正解[J].华侨大学学报(自然科学版),2013,34(1):106-111.[doi:10.11830/ISSN.1000-5013.2013.01.0106]
　CHEN Ying-sheng,WANG Dong-shu.Positive Solutions of Impulsive Boundary Value Problems for First-Order Two-Point Nonlinear Functional Differential Equations[J].Journal of Huaqiao University(Natural Science),2013,34(1):106-111.[doi:10.11830/ISSN.1000-5013.2013.01.0106]
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一阶非线性脉冲微分方程两点边值问题的正解()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第34卷
期数:
2013年第1期
页码:
106-111
栏目:
出版日期:
2013-01-20

文章信息/Info

Title:
Positive Solutions of Impulsive Boundary Value Problems for First-Order Two-Point Nonlinear Functional Differential Equations
文章编号:
1000-5013(2013)01-0106-06
作者:
陈应生;  汪东树
华侨大学 数学科学学院, 福建 泉州 362021
Author(s):
CHEN Ying-sheng;  WANG Dong-shu
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
锥;  正解;  脉冲;  不动点理论
Keywords:
cone;  positive solution;  impulse;  fixed point theory
分类号:
O175.8
DOI:
10.11830/ISSN.1000-5013.2013.01.0106
文献标志码:
A
摘要:
研究一类一阶非线性脉冲微分方程边值问题的正解存在性. 利用锥压缩锥拉伸不动点定理及一些分析技巧, 建立该边值问题存在一个及多个正解的充分条件, 所得结果推广和改进了LIU Yan-shang的结果.
Abstract:
In this paper, we study the problem on the existence of positive solutions for a class of the first-order nonlinear functional differential equations with impulsive boundary value problems. By using the cone compression, the extended fixed point theorm and some analysis techniques,we establish some sufficient conditions for the existence of one and multiple positive solutions for these problems. Our results generalize and improve some previous results made by LIU Yan-shang.

参考文献/References:

[1] LIU Yu-ji.Positive solutions of periodic boundary value problems for nonlinear first-order impulsive differential equations[J].Nonlinear Analysis,2009,70(5):2106-2122.
[2] LI Jian-li,SHEN Jian-hua.New comparison results for impulsive functional differential equations[J].Appl Math Lett,2010,23(4):487-493.
[3] ZHAO Ai-min,BAI Zheng-guo.Existence of solutions to first-order impulsive periodic boundary value problems[J].Nonlinear Analysis,2009,71(5/6):1970-1977.
[4] ZHANG Li-hong.Boundary value problem for first order impulsive functional integeo-differential equations[J].Comput Appl Math,2011,235(8):2442-2450.
[5] LIU Yan-shang.Periodic boundary value problems for first order functional differential equations with impulse[J].J Comput Appl Math,2009,223(1):27-39.
[6] LIANG Rui-xi,SHEN Jian-hua.Periodic boundary value problem for first order impulsive functional differential equations[J].J Comput Appl Math,2007,202(2):498-510.
[7] ZHANG Li-hong.Boundary value problem for first order impulsive integro-differential equations[J].J Comput Appl Math,2011,235(8):2442-2450.
[8] 韩飞,王全义.一类泛函微分方程周期正解个数[J].华侨大学学报:自然科学版,2009,30(3):346-350.
[9] LI Jian,LUO Zhi-guo.Maximum principles for the periodic boundary value problem for impulsive integro-differential equations[J].Nonlinear Analysis,2010,72(9/10):3837-3841.

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备注/Memo

备注/Memo:
收稿日期: 2011-11-28
通信作者: 陈应生(1976-),男,讲师,主要从事常微分方程和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)
更新日期/Last Update: 2013-01-20