Boundary value problems involving upper and lower solutions in reverse order

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:230

Article

Wang, Weibing¹  Yang, Xuxin^2,3  Shen, Jianhua³ 

[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

关键词: Functional differential equation;    Boundary value problems;    Upper and lower solutions;    Monotone iterative technique;   

DOI  :  10.1016/j.cam.2008.10.040

来源: Elsevier

【 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.

【 授权许可】

Free