On 2nth-order Lidstone boundary value problems

被引：26
|
作者：
Wang, YM [1 ]
机构：
[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China
[2] Shanghai Normal Univ, Div Computat Sci, Einst Shanghai Univ, Shanghai 200234, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 312卷 / 02期
基金：
中国国家自然科学基金;
关键词：
2nth-order Lidstone boundary value problem; existence and uniqueness; method of upper and lower solutions; maximum principle;
D O I：
10.1016/j.jmaa.2005.03.039
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the solutions of a class of 2nth-order Lidstone boundary value problems. Sufficient conditions for the existence and uniqueness of a solution are given. A monotone iteration is developed so that the iteration sequence converges monotonically to a maximal or a minimal solution. The approach to the problem is by the method of upper and lower solutions with a new maximum principle. (c) 2005 Elsevier Inc. All rights reserved.
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页码：383 / 400
页数：18
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