Positive solution for three-point boundary value problems with sign changing nonlinearities

被引：16

作者：

Ren, JL ^{[1
]}

Ge, WG

机构：

[1] Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China

[2] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2004年 / 17卷 / 04期

基金：

中国国家自然科学基金;

关键词：

three-point boundary value problems; Green's function; operator; cone;

D O I：

10.1016/S0893-9659(04)90088-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By constructing available operators, some new existence theorems of positive solutions are obtained for a class of three-point boundary value problems u" + lambdah(t)f(t, u) = 0, 0less than or equal to t less than or equal to 1, u(0) - betau'(0) = 0, u(1) = alphau(eta), where f is allowed to change sign, 77 G (0, 1). The associated Green's function for the above problem is also given. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：451 / 458

页数：8

共 8 条

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