Triple positive solutions of a class of fourth-order two-point boundary value problems

被引：7

作者：

Yang, Yun-Rui ^{[1
,2
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

[2] Lanzhou Jiaotong Univ, Sch Math Phys & Software Engn, Lanzhou 730070, Gansu, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2010年 / 23卷 / 04期

关键词：

Positive solutions; Green function; Fixed point; Cone; ORDERED BANACH-SPACES; FIXED-POINTS;

D O I：

10.1016/j.aml.2009.10.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using the Leggett-Williams fixed point theorem, we establish an existence criterion for triple positive solutions of the nonlinear fourth-order two-point boundary value problem {u((4))(t) = g(t)f(t, u(t), u'(t)), t is an element of (0, 1) u(0) = u'(1) = u ''(0) = u ''(1) = 0. An example is also included to demonstrate the result we obtained. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：366 / 370

页数：5

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