The upper and lower solution method for some fourth-order boundary value problems

被引：68
|
作者：
Bai, Zhanbing [1 ]
机构：
[1] Shandong Univ Sci & Technol, Inst Math, Qingdao 266510, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 67卷 / 06期
基金：
中国国家自然科学基金;
关键词：
fourth-order boundary value problem; lower and upper solutions; Nagumo-type condition; integral-differential equation;
D O I：
10.1016/j.na.2006.08.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are concerned with the fourth-order two-point boundary value problem u((iv))(t) = f(t, u(t), u'(t), u"(t), u'''(t)), 0 < t < 1, u(0) = u'(1) = u"(0) = u'''(1) = 0. By placing certain restrictions on the nonlinear term f, we obtain the existence results for the fourth-order two-point boundary value problem via the lower and upper solution method. In particular, a new truncating technique and an appropriate Nagumo-type condition are introduced and employed. (c) 2006 Elsevier Ltd. All rights reserved.
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页码：1704 / 1709
页数：6
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