Boundary value problems involving upper and lower solutions in reverse order

被引：18

作者：

Wang, Weibing ^{[1
]}

Yang, Xuxin ^{[2
,3
]}

Shen, Jianhua ^{[3
]}

机构：

[1] Hunan Univ Sci & Technol, Dept Math, Xiangtan 411201, Hunan, Peoples R China

[2] Hunan First Normal Coll, Dept Math, Changsha 410205, Hunan, Peoples R China

[3] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 230卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Functional differential equation; Boundary value problems; Upper and lower solutions; Monotone iterative technique; FUNCTIONAL-DIFFERENTIAL EQUATIONS; MONOTONE METHOD; EXISTENCE; 1ST-ORDER;

D O I：

10.1016/j.cam.2008.10.040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss the existence of extreme solutions of the boundary value problem for a class of first-order functional equations with a nonlinear boundary condition. In the presence of a lower solution alpha and an upper solution beta with beta <= alpha, we establish existence results of extreme solutions by using the method of upper and lower solutions and a monotone iterative technique. Crown Copyright (C) 2008 Published by Elsevier B.V. All rights reserved.

引用

页码：1 / 7

页数：7

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