POSITIVE SOLUTIONS FOR AN m-POINT BOUNDARY-VALUE PROBLEM

被引：0

作者：

Le Xuan Truong ^{[1
]}

Le Thi Phuong Ngoc ^{[2
]}

Nguyen Thanh Long ^{[3
]}

机构：

[1] Univ Tech Educ HoChiMinh City, Ho Chi Minh City, Vietnam

[2] Nhatrang Educ Coll, Nhatrang City, Vietnam

[3] Vietnam Natl Univ HoChiMinh City, Univ Nat Sci, Dept Math & Comp Sci, Ho Chi Minh City, Vietnam

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2008年

关键词：

Multi-point boundary; positive solution; Guo-Krasnoselskii fixed point theorem;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain sufficient conditions for the existence of a positive solution, and infinitely many positive solutions, of the m-point boundary-value problem x ''(t) = f(t, x(t)), 0 < t < 1, x'(0) - 0, x(1) - Sigma(m-2)(i=1) alpha(i)x(n(i)). Our main tools are the Guo-Krasnoselskii's fixed point theorem and the monotone iterative technique. We also show that the set of positive solutions is compact.

引用

页数：11

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