抽象空间中三阶奇异两点边值问题的正解

J4 ›› 2010, Vol. 45 ›› Issue (8): 62-65.

抽象空间中三阶奇异两点边值问题的正解

蔡静静1,刘桂龙2

1.同济大学应用数学系, 上海 200092; 2.新疆大学电气工程学院，新疆乌鲁木齐 830047

收稿日期:2009-06-02 出版日期:2010-08-16 发布日期:2010-09-16
作者简介:蔡静静(1983-),女,博士,研究方向为非线性泛函分析.Email:cjjing1983@163.com

Positive solutions for singular third order two-point boundary value problem in abstract space

CAI Jing-jing1, LIU Gui-long2

1. Department of Mathematics, Tongji University, Shanghai 200092, China;
2. College of Electrical Engineering, Xinjiang University, Urumqi 830047, Xinjiang, China

Received:2009-06-02 Online:2010-08-16 Published:2010-09-16

摘要/Abstract

摘要：

通过构造一个特殊的锥,证明了Banach空间中三阶奇异两点边值问题正解的存在性和不存在性,给出例子说明主要结果。

关键词: Banach空间;正解;奇异;不动点定理

Abstract:

By constructing a special cone, the existence and nonexistence of positive solutions for singular third order two-point boundary value problem in Banach space are studied, and an example is given to illustrate the main results.

Key words: Banach space; positive solution; singularity; fixed-point theorem

蔡静静1,刘桂龙2. 抽象空间中三阶奇异两点边值问题的正解[J]. J4, 2010, 45(8): 62-65.

CAI Jing-jing1, LIU Gui-long2. Positive solutions for singular third order two-point boundary value problem in abstract space[J]. J4, 2010, 45(8): 62-65.

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