半无穷区间上二阶微分方程积分边值问题多个正解的存在性

J4 ›› 2011, Vol. 46 ›› Issue (4): 37-41.

半无穷区间上二阶微分方程积分边值问题多个正解的存在性

陈建名,刘锡平*,肖羽

上海理工大学理学院, 上海 200093

收稿日期:2010-05-11 发布日期:2011-04-21
通讯作者: 刘锡平(1962- ),男,教授,研究方向为微分方程理论及应用研究. Email: xipingliu@163.com
作者简介:陈建名(1984- ),男,硕士研究生,研究方向为微分方程理论及应用研究. Email: chenjianming84@163.com
基金资助:
上海市教委科研创新基金重点资助项目(10ZZ93)

Existence of multiple positive solutions for second-order differential equation with integral boundary value problems on the half-line

CHEN Jian-ming, LIU Xi-ping*, XIAO Yu

College of Science,University of Shanghai for Science and Technology, Shanghai 200093, China

Received:2010-05-11 Published:2011-04-21

摘要/Abstract

摘要：

研究了一类二阶微分方程在半无穷区间上具有积分边界条件的Sturm-Liouville边值问题, 讨论了多个正解的存在性, 利用锥上不动点定理, 得到了边值问题至少有三个正解存在的充分条件。

关键词: 半无穷区间; 积分边界;不动点定理;全连续算子;正解

Abstract:

The existence of multiple positive solutions of Sturm-Liouville boundary value problems are studied for a class of second-order differential equation with integral boundary conditions on the half-line. By using the fixed point theorem in cone, the sufficient conditions for the boundary value problems at least three positive solutions are obtained.

Key words: half-line; integral boundary conditions; fixed point theorem; complete continuous operator; positive solutions

陈建名,刘锡平*,肖羽. 半无穷区间上二阶微分方程积分边值问题多个正解的存在性[J]. J4, 2011, 46(4): 37-41.

CHEN Jian-ming, LIU Xi-ping*, XIAO Yu. Existence of multiple positive solutions for second-order differential equation with integral boundary value problems on the half-line[J]. J4, 2011, 46(4): 37-41.

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