On 2nth-order nonlinear multi-point boundary value problems

被引：1
|
作者：
Wang, Yuan-Ming [1 ,2 ]
机构：
[1] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China
[2] Shanghai Normal Univ, Div Computat Sci, Sci Comp Key Lab Shanghai Univ, E Inst Shanghai Univ, Shanghai 200234, Peoples R China
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2010年 / 51卷 / 9-10期
基金：
中国国家自然科学基金; 上海市自然科学基金;
关键词：
2nth-order equation; Nonlinear multi-point boundary value problem; Existence and uniqueness; Method of upper and lower solutions; Monotone iteration; ORDINARY DIFFERENTIAL-EQUATIONS; 2-PARAMETER NONRESONANCE CONDITION; POSITIVE SOLUTIONS; LIDSTONE PROBLEMS; 4TH-ORDER; EXISTENCE; SOLVABILITY; MULTIPLICITY;
D O I：
10.1016/j.mcm.2010.01.008
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
This paper is concerned with the existence and uniqueness of a solution for a class of 2nth-order nonlinear multi-point boundary value problems. The existence of a solution is proven by the method of upper and lower solutions without any monotone condition on the nonlinear function. A sufficient condition for the uniqueness of a solution is given. It is also shown that there exist two sequences which converge monotonically from above and below, respectively, to the unique solution. Two examples are presented to illustrate the results. (C) 2010 Elsevier Ltd. All rights reserved.
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页码：1251 / 1259
页数：9
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