二阶时滞微分方程边值问题的上下解方法  

Upper and Lower Solutions Method for Second Order Boundary Value Problems with Delay

作　　者：王宏洲[1] Richard M. TIMONEY 

机构地区：[1]北京理工大学数学系,北京100081 [2]School of Mathematics,Trinity College Dublin,Dublin,Ireland

出　　处：《数学学报（中文版）》2010年第3期489-494,共6页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(10671012)

摘　　要：主要利用上下解方法和Schauder不动点定理,研究一类二阶时滞微分方程边值问题的正解存在性.为了验证结论的正确性,本文在结尾部分给出了两个例子.We consider the existence of positive solutions for a class of second order boundary value problems with delay.By using upper and lower solutions method and Schauder fixed point theorem,we obtain some existence results of positive solutions. The results are illustrated with some examples.

关 键 词：边值问题 时滞 上下解 

分 类 号：O175.15[理学—数学]