不连续泛函微分方程周期边值问题解的单调迭代技巧(英文)  

Monotone Iterative Technique for Discontinuous Functional Differential Equations with Periodic Boundary Value

作　　者：孙武军[1] 

机构地区：[1]南京大学商学院金融与保险学系,江苏南京210093

出　　处：《应用数学》2010年第2期267-273,共7页Mathematica Applicata

基　　金：Supported by NNSF of China (70703016)

摘　　要：文章通过运用上下解的方法证明了一类带有周期边值条件的不连续泛函微分方程解的存在性.并且采用不连续的上下解显著扩大了上下解的选择范围.进而,通过构造具有一致收敛性的上下解的单调迭代序列,得到了该周期边值问题的极值解,即最大、小解.This paper is devoted to investigating the existence of solutions for discontinuous functional differential equations with periodic boundary value conditions.By employing the method of upper and lower solutions,which are less than continuous functions,some existence results are obtained.Furthermore,we also develop a monotone iterative technique for obtaining extremal solutions which are obtained as the limits of monotone sequences.

关 键 词：周期边值问题 上下解 不连续泛函微分方程 极值解 单调迭代技巧 

分 类 号：O175.13[理学—数学]