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.
出处
《北京理工大学学报》
EI
CAS
CSCD
北大核心
2009年第11期1022-1024,共3页
Transactions of Beijing Institute of Technology
关键词
SCHAUDER不动点定理
正解
泛函微分方程
时滞
边值问题
Schauder fix point theorem
positive solution
functional differential equation
delay
boundary value problem