Positive solutions of a nonlinear elastic beam equation rigidly fastened on the left and simply supported on the right

被引：39
|
作者：
Yao, Qingliu [1 ]
机构：
[1] Nanjing Univ Finance & Econ, Dept Appl Math, Nanjing 210003, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 5-6期
关键词：
nonlinear ordinary differential equation; boundary value problem; positive solution; existence; multiplicity;
D O I：
10.1016/j.na.2007.07.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to establish several local existence theorems concerned with n positive solutions for a fourth-order two-point boundary value problem, where n is an arbitrary positive integer and the nonlinear term may be singular. In mechanics, the problem describes deflection of an elastic beam rigidly fastened on the left and simply supported on the right. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1570 / 1580
页数：11
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