Positive solutions of a nonlinear m-point boundary value problem

被引：92

作者：

Ma, RY ^{[1
]}

机构：

[1] NW Normal Univ, Dept Math, Lanzhou 730070, Gansu, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2001年 / 42卷 / 6-7期

基金：

中国国家自然科学基金;

关键词：

second-order multipoint BVP; positive solution; cone; fixed point;

D O I：

10.1016/S0898-1221(01)00195-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let a(i) greater than or equal to 0 for i = 1, ..., m-3 and a(m-2) > 0. Let xi (i) satisfy 0 < xi (1) < xi (2) < ... < xi (m-2) < 1 and Sigma (m-2)(i=1) a(i)xi (i) < 1. We study the existence of positive solutions to the boundary-value problem u " + a(t)f(u) = 0, t is an element of (0,1), u(0) = 0, u(1) = where a is an element of C([0,1], [0,infinity)), and f is an element of C([0,infinity), [0,infinity)). We show the existence of at least one positive solution if f is either superlinear or sublinear by applying a fixed-point theorem in cones. (C) 2001 Elsevier Science Ltd. All rights reserved.Sigma (m-2)(i=1) a(i)u(xi (i)),

引用

页码：755 / 765

页数：11

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