Monotone method for first- and second-order periodic boundary value problems and periodic solutions of functional differential equations

被引：64

作者：

Jiang, DQ ^{[1
]}

Wei, JJ ^{[1
]}

机构：

[1] NE Normal Univ, Dept Math, Changchun 130024, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 50卷 / 07期

基金：

中国国家自然科学基金;

关键词：

periodic boundary value problem; periodic solution; existence; upper and lower solution; monotone iterative technique;

D O I：

10.1016/S0362-546X(01)00782-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The monotone iterative technique was used to study first and second order periodic boundary value problems and periodic solutions of functional differential equations. A maximum principle was used to prove the validity of the monotone iterative technique. The concepts of lower and upper solutions were defined for the problems in the context.

引用

页码：885 / 898

页数：14

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