[1]陈东晓,陈应生.二阶微分方程积分边值问题正解的存在性[J].华侨大学学报(自然科学版),2013,34(5):586-590.[doi:10.11830/ISSN.1000-5013.2013.05.0586]
　CHEN Dong-xiao,CHEN Ying-sheng.Existence Positive Solutions of Boundary Value Problems for Second Order Differential Equations with Integral Conditions[J].Journal of Huaqiao University(Natural Science),2013,34(5):586-590.[doi:10.11830/ISSN.1000-5013.2013.05.0586]
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二阶微分方程积分边值问题正解的存在性()
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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5期
页码:
586-590
栏目:
出版日期:
2013-09-20

文章信息/Info

Title:
Existence Positive Solutions of Boundary Value Problems for Second Order Differential Equations with Integral Conditions
文章编号:
1000-5013(2013)05-0586-05
作者:
陈东晓;  陈应生
华侨大学 数学科学学院, 福建 泉州 362021
Author(s):
CHEN Dong-xiao;  CHEN Ying-sheng
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
锥;  正解;  边值问题;  不动点理论;  Sturm-Liouville 积分
Keywords:
cone;  positive solution;  boundary value;  fixed point theory;  Strum-Liouville integral
分类号:
O175.8
DOI:
10.11830/ISSN.1000-5013.2013.05.0586
文献标志码:
A
摘要:
研究一类满足Sturm-Liouville 积分边值条件的二阶非线性微分方程的正解存在性.通过转化为等价的积分方程,利用锥上不动点定理及一些分析技巧,建立边值问题存在一个和多个正解的充分条件.该边值条件含有勒贝格-斯梯阶积分,所得的结果是新的.
Abstract:
We study the existence of positive solutions for Strum-Liouville boundary value problems of second-order nonlinear functional differential equations. By converting problems into equivalent integral equations, using fixed point theory in cones and some analysis techniques, we obtain some sufficient conditions which guarantee the existence of one and multiple positive solutions for the problem.The conditions of boundary value in this paper contain Stieltijes integral, and the obtained results are new.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期: 2012-05-30
通信作者: 陈东晓(1977-),男,讲师,主要从事常微分方程和泛函微分方程的研究.E-mail:cys19760828@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: 2013-09-20