[1]王全义,邹黄辉.一类四阶奇异非线性积分边值问题正解的存在性[J].华侨大学学报(自然科学版),2014,35(1):112-116.[doi:10.11830/ISSN.1000-5013.2014.01.0112]
 WANG Quan-yi,ZOU Huang-hui.Existence of Positive Solutions for a Class of Fourth-Order Singular Nonlinear Integral Boundary Value Problems[J].Journal of Huaqiao University(Natural Science),2014,35(1):112-116.[doi:10.11830/ISSN.1000-5013.2014.01.0112]
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一类四阶奇异非线性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35卷
期数:
2014年第1期
页码:
112-116
栏目:
出版日期:
2014-01-20

文章信息/Info

Title:
Existence of Positive Solutions for a Class of Fourth-Order Singular Nonlinear Integral Boundary Value Problems
文章编号:
1000-5013(2014)01-0112-05
作者:
王全义 邹黄辉
华侨大学 数学科学学院, 福建 泉州 362021
Author(s):
WANG Quan-yi ZOU Huang-hui
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
正解 非线性积分边值问题 不动点定理
Keywords:
cone positive solution nonlinear integral boundary value problem fixed point theorem
分类号:
O175.8
DOI:
10.11830/ISSN.1000-5013.2014.01.0112
文献标志码:
A
摘要:
研究一类四阶奇异非线性积分边值问题正解的存在性问题. 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一些新结果.所得结果推广并改进了先前的相关结果.
Abstract:
We study the problem on the existence of positive solutions for a class of fourth-order singular nonlinear integral boundary value problem. By employing the fixed point theorem in cones and some analytical skills, we obtain some new results on the existence of one or multiple positive solutions for the boundary value problems. Our results extend and improve some previous results.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期: 2012-12-24
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:wqy1955@163.com.
基金项目: 国家自然科学基金数学天元基金资助项目(11226145)
更新日期/Last Update: 2014-01-20