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
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
收藏
页码:1 / 7
页数:7
相关论文
共 50 条