The monotone method for Neumann functional differential equations with upper and lower solutions in the reverse order

被引：17

作者：

Jiang, Daqing

Yang, Ying

Chu, Jifeng ^{[1
]}

O'Regan, Donal

机构：

[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

[2] Hohai Univ, Coll Sci, Dept Appl Math, Nanjing 210098, Peoples R China

[3] Natl Univ Ireland, Dept Math, Galway, Ireland

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 67卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Neumann boundary value problem; upper and lower solutions; anti-maximum comparison principle; monotone iterative technique;

D O I：

10.1016/j.na.2006.09.042

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 monotone technique produces two monotone sequences that converge uniformly to extremal solutions of second order functional differential equations and phi-Laplacian equations with Neumann boundary value conditions. Moreover, we obtain existence results assuming upper and lower solutions in the reverse order. (C) 2006 Elsevier Ltd. All rights reserved.

引用

页码：2815 / 2828

页数：14

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