Existence and uniqueness theorems for fourth-order singular boundary value problems

被引：18
|
作者：
Cui, Yujun [1 ]
Zou, Yumei [1 ]
机构：
[1] Shandong Univ Sci & Technol, Dept Math, Qingdao 266510, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 58卷 / 07期
基金：
美国国家科学基金会;
关键词：
Fourth-order boundary value problem; Singular; Existence; Uniqueness; e-Norm;
D O I：
10.1016/j.camwa.2009.07.041
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By constructing a special cone and using cone compression and expansion fixed point theorem, the existence and uniqueness are established for the following singular fourth-order boundary value problems: x((4)) (t) = f(t, x(t), -x '' (t)), t is an element of (0, 1), x(0) = x(1) = x ''(0) = x ''(1) = 0, where f(t, x, y) may be singular at t = 0.1; x = 0 and y = 0. (C) 2009 Elsevier Ltd. All rights reserved.
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页码：1449 / 1456
页数：8
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