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.
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页码：79 / 88
页数：10
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