二阶泛函微分方程边值问题正解的存在性  

Existence of Positive Solutions for Boundary Value Problems of Second Order Functional Differential Equations with Delay

作　　者：王宏洲[1] 王佳[1] 

机构地区：[1]北京理工大学理学院,北京100081

出　　处：《北京理工大学学报》2009年第11期1022-1024,共3页Transactions of Beijing Institute of Technology

摘　　要：应用Schauder不动点定理讨论一类二阶泛函微分方程边值问题正解的存在性,所得的结果放宽了已有文献中的条件:A≥φ(0),1/2≤T<6^(1/2).结论简单,易于验证,并给出应用举例的验证结果.Discusses the existence of positive solutions for boundary value problems of second order functional differential equations by applying Scbauder＇s fixd point theorem. To ensure the existence of positive solution, some sufficient conditions are provided without the hypothesis： A≥φ（0）,1/2≤T√6, which are necessaug in the published literature.

关 键 词：SCHAUDER不动点定理 正解 泛函微分方程 时滞 边值问题 

分 类 号：O175[理学—数学]