Multiple positive solutions of fourth-order boundary value problems

被引：0

作者：

Xu, XJ ^{[1
]}

Jiang, DQ

O'Regan, D

Agarwal, RP

机构：

[1] NE Normal Univ, Dept Math, Changchun 130024, Peoples R China

[2] Natl Univ Ireland Univ Coll Galway, Dept Math, Galway, Ireland

[3] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2005年 / 8卷 / 01期

关键词：

existence; multiple positive solutions; cone; fixed point index;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we discuss the existence of multiple positive solutions for the fourth-order boundary value problem (BVP) u((4))(t) + beta u''(t) =f(t, u(t)): 0 < t < 1 u(0) = u(1) = u"(0) - u"(1) = 0, where f : [0, 1] x [0, infinity) -> [0, infinity) is continous and beta < pi(2). Existence is established via the theory of fixed point index in cones.

引用

页码：79 / 88

页数：10

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