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.
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页码：366 / 370
页数：5
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