Triple positive solutions for a class of boundary value problem of second-order functional differential equations

被引：19

作者：

Shu, XB ^{[1
]}

Xu, YT ^{[1
]}

机构：

[1] Zhongshan Univ, Dept Math, Guangzhou 510275, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 61卷 / 08期

基金：

中国国家自然科学基金;

关键词：

functional differential equation; boundary value problem; triple positive solutions; fixed-point theorem;

D O I：

10.1016/j.na.2005.02.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain sufficient conditions for the existence of at least three positive solutions for the functional differential equation x" (t) + q (t) f (t, x (t), x'(t - 1)) = 0 subject to some boundary conditions. This is an application of a new fixed-point theorem introduced by Avery and Peterson (Ann. Differential Equations 8 (1992) 261-268). (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1401 / 1411

页数：11

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