Positive solutions for semipositone m-point boundary-value problems

被引：17
|
作者：
Ma, RY [1 ]
Ma, QZ [1 ]
机构：
[1] NW Normal Univ, Dept Math, Lanzhou 730070, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2004年 / 20卷 / 02期
基金：
中国国家自然科学基金;
关键词：
ordinary differential equation; existence of solutions; multi-point boundary value problems; fixed point theorem in cones;
D O I：
10.1007/s10114-003-0251-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let xi(i) is an element of (0, 1) with 0 < xi(1) < xi(2) <... <xi(m-2) < 1, a(i), b(i) is an element of [0, infinity) with 0 < Sigma(i=1)(m-2) a(i) <1 and Sigma(m-2)(i=1)b(i) < 1. We consider the m-point boundary-value problem u" + lambda f (t, u) = 0, t is an element of (0, 1), [GRAPHICS] where f (x, y) >= -M, and M is a positive constant. We show the existence and multiplicity of positive solutions by applying the fixed point theorem in cones.
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页码：273 / 282
页数：10
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