Positive solutions of a nonlinear m-point boundary value problem

被引：91
|
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)),
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页码：755 / 765
页数：11
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