Higher-order Lidstone boundary value problems for elliptic partial differential equations

被引：5

作者：

Wang, YM ^{[1
]}

机构：

[1] Shanghai Normal Univ, E Inst Shanghai Univ, Div Computat Sci, Shanghai 200234, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 308卷 / 01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; Monotone method;

D O I：

10.1016/j.jmaa.2005.01.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to show the existence and uniqueness of a solution for a class of 2nth-order elliptic Lidstone boundary value problems where the nonlinear functions depend on the higher-order derivatives. Sufficient conditions are given for the existence and uniqueness of a solution. It is also shown that there exist two sequences which converge monotonically from above and below, respectively, to the unique solution. The approach to the problem is by the method of upper and lower solutions together with monotone iterative technique for nonquasimonotone functions. All the results are directly applicable to 2nth-order two-point Lidstone boundary value problems. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：314 / 333

页数：20

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