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.

引用

页码：1449 / 1456

页数：8

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