[1]林秋莲,王全义.一类具有积分边值条件的二阶奇异微分方程正解的存在性[J].华侨大学学报(自然科学版),2013,34(6):696-700.[doi:10.11830/ISSN.1000-5013.2013.06.0696]
　LIN Qiu-lian,WANG Quan-yi.Existence of Positive Solutions for A Class of Second Order Singular Differential Equations with Nonlinear Integral Boundary Conditions[J].Journal of Huaqiao University(Natural Science),2013,34(6):696-700.[doi:10.11830/ISSN.1000-5013.2013.06.0696]
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一类具有积分边值条件的二阶奇异微分方程正解的存在性()
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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6期
页码:
696-700
栏目:
出版日期:
2013-11-20

文章信息/Info

Title:
Existence of Positive Solutions for A Class of Second Order Singular Differential Equations with Nonlinear Integral Boundary Conditions
文章编号:
1000-5013(2013)06-0696-05
作者:
林秋莲;  王全义
华侨大学 数学科学学院, 福建 泉州 362021
Author(s):
LIN Qiu-lian;  WANG Quan-yi
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
Schauder不动点定理;  奇异;  非线性积分边值;  正解
Keywords:
Schauder fixed point theorem;  singular;  nonlinear integral boundary value;  positive solution
分类号:
O175
DOI:
10.11830/ISSN.1000-5013.2013.06.0696
文献标志码:
A
摘要:
研究一类具有非线性积分边值条件的二阶奇异微分方程正解的存在性问题. 应用Schauder不动点定理及一些分析技巧, 建立该边值问题存在正解的一些充分条件,所得结果推广和改进了KONG Ling-ju的研究成果.
Abstract:
We study the problem on the existence of positive solutions for a class of second-order singular differential equations with nonlinear integral boundary conditions. By using Schauder fixed point theorem and some analysis techniques, we provide sufficient conditions for the existence of positive solutions to the above boundary value problems. Our results generalize and improve the one made by KONG Ling-ju.

参考文献/References:

[1] KONG Ling-ju.Second order singular boundary value problems with integral boundary conditions[J].Nonlinear Analysis,2010,72(5):2628-2638.
[2] JIANG Ji-qiang,LIU Li-shan,WU Yong-hong.Second-order nonlinear singular Sturm-Liouville problems with integral boundary conditions[J].Applied Mathematics and Computation,2009,215(4):1573-1582.
[3] 曹君艳,王全义.一类二阶微分方程两点边值问题的正解存在性[J].华侨大学学报:自然科学版,2010,35(1):113-117.
[4] HAO Xi-nan,LIN Li-shan,WU Yong-hong.On positive solutions of an m-point nonhomo geneous singular boundary value problem[J].Nonlinear Analysis,2010,73(8):2532-2540.
[5] ZHONG Min-ling,ZHANG Xin-guang.The existence of multiple positive solutions for a class of semipositone Dirichlet boundary value problems[J].Journal of Applied Mathematicsand Computing,2012,38(1/2):145-159.
[6] WANG You-yu,LIU Guo-feng,HU Yin-ping.Existence and uniqueness of solutions for a second order differential equation with integral boundary conditions[J].Applied Mathematicsand Computation,2010,216(9):2718-2727.
[7] JI De-hong,BAI Zhan-bing,GE Wei-gao.The existence of countably many positive solutions for singular multipoint boundary value problems[J].Nonlinear Analysis,2010,72(2):955-964.
[8] 郭大钧.非线性泛函分析[M].2版.济南:山东科学技术出版社,2001:286-330.

备注/Memo

备注/Memo:
收稿日期: 2012-09-29
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:wangqy1955@126.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: 2013-11-20