带有″上确界″的非线性脉冲微分方程无穷边值问题(英文)  

Infinite Boundary Value Problems for Nonlinear Impulsive Differential Equations with ″Supremum″

作　　者：戚仕硕[1] 

机构地区：[1]郑州大学数学系,河南郑州450052

出　　处：《应用泛函分析学报》2004年第3期200-208,共9页Acta Analysis Functionalis Applicata

基　　金：Supported by the Young Key Teachers Foundation of Zhengzhou University and TalentIntroduction Fund of Zhengzhou University

摘　　要：　应用上下解方法和单调迭代技术研究了带有上确界的一阶非线性脉冲微分方程无穷边值问题,并获得了其极值解的存在性结果.In this article, we study the infinite boundary value problems for first order nonlinear impulsive differential equations with ″supremum″ by means of the upper and lower solution method and the monotone iterative technique, and obtain the existence theorems for their extremal solutions.

关 键 词：上确界 脉冲微分方程 无穷 边值问题 解的存在性 单调迭代 极值解 

分 类 号：O175[理学—数学] O177[理学—基础数学]