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.

引用

页码：383 / 400

页数：18

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