含积分边界条件的三阶常微分方程边值问题正解的存在性

J4 ›› 2011, Vol. 46 ›› Issue (2): 22-28.

含积分边界条件的三阶常微分方程边值问题正解的存在性

田应强,贾梅,柳树

上海理工大学理学院, 上海 200093

收稿日期:2010-03-08 出版日期:2011-02-16 发布日期:2011-03-30
作者简介:田应强(1984- ),男,硕士研究生,研究方向为应用常微分方程. Email:tian0013@163.com
基金资助:
上海市教育委员会科研创新基金重点资助项目(10ZZ93)

Positive solutions for third-order boundary value problems with integral boundary conditions

TIAN Ying-qiang, JIA Mei, LIU Shu

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

Received:2010-03-08 Online:2011-02-16 Published:2011-03-30

摘要/Abstract

摘要：

运用范数形式的锥拉伸与锥压缩不动点定理,研究了含积分边界条件的三阶常微分方程边值问题正解的存在性,得到了至少一个正解存在的两个充分条件。

关键词: 正解;积分边界条件;锥;不动点

Abstract:

By applying the fixed point theorem of cone expansion and compression of norm type, the existence of positive solutions of third-order ordinary differential equations with integral boundary conditions are investigated. Also, the two sufficient conditions are obtained.

Key words: positive solution; integral boundary conditions; cone; fixed-point theorem

田应强,贾梅,柳树. 含积分边界条件的三阶常微分方程边值问题正解的存在性[J]. J4, 2011, 46(2): 22-28.

TIAN Ying-qiang, JIA Mei, LIU Shu. Positive solutions for third-order boundary value problems with integral boundary conditions[J]. J4, 2011, 46(2): 22-28.

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