On monotone method for first and second order periodic boundary value problems and periodic solutions of functional differential equations

被引：82

作者：

Jiang, DQ ^{[1
]}

Nieto, JJ

Zuo, WJ

机构：

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

[2] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 289卷 / 02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 solutions; monotone iterative technique;

D O I：

10.1016/j.jmaa.2003.09.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show that the method of monotone iterative technique is valid to obtain two monotone sequences that converge uniformly to extremal solutions of first and second order periodic boundary value problems and periodic solutions of functional differential equations. We obtain some new results relative to the lower solution alpha and upper solution beta with alphaless than or equal tobeta. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：691 / 699

页数：9

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