一类泛函微分方程边值问题的多重正解  

Multiple Positive Solutions of Boundary Value Problems for a Class of Functional Differential Equations

作　　者：张玫玉[1] 

机构地区：[1]山西大学数学系

出　　处：《工程数学学报》2007年第4期735-740,共6页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(10371068);山西省自然科学基金(20041003)

摘　　要：本文讨论了一类二阶泛函微分方程边值问题。首先将此问题转化为分段的积分方程,然后利用锥上的不动点定理讨论了其多重正解的存在性,得到了此二阶泛函微分方程存在两个正解的结果。In this paper, we discuss the boundary value problems for a class of second order functional differential equations. We first transform it into a piecewise integral equation, then apply a fixed point theorem on cones to discuss the existence of its multiple positive solutions. It is proved that the second order functional differential equation exists two positive solutions.

关 键 词：泛函微分方程 正解 锥 全连续 

分 类 号：O177.91[理学—数学] O175.15[理学—基础数学]