Existence Results of Three-Point Boundary Value Problems for Second-order Ordinary Differential Equations

被引：4

作者：

Wang, Sheng-Ping ^{[1
]}

Tsai, Long-Yi ^{[2
]}

机构：

[1] Cardinal Tien Coll Healthcare & Management, Holist Educ Ctr, Sanxing Township 26646, Yilan County, Taiwan

[2] Natl Chengchi Univ, Dept Math Sci, Taipei 11605, Taiwan

来源：

BOUNDARY VALUE PROBLEMS | 2011年

关键词：

STURM-LIOUVILLE OPERATOR; POSITIVE SOLUTIONS; KIND;

D O I：

10.1155/2011/901796

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish existence results of the following three-point boundary value problems: u ''(t) + f(t, u(t)) = 0, t is an element of (0, 1), (BC)u(0) = 0 and u(1) = delta u(eta), where 0 < eta < 1 and 0 < delta <= 1. The approach applied in this paper is upper and lower solution method associated with basic degree theory or Schauder's fixed point theorem. We deal with this problem with the function f which is Caratheodory or singular on its domain.

引用

页数：18

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