Banach空间二阶非线性常微分方程周期边值问题的解  

Solutions of periodic boundary value problem for second-order nonlinear ordinary differential equation in Banach spaces

作　　者：陆海霞[1] 

机构地区：[1]宿迁学院教师教育系,江苏宿迁223800

出　　处：《西北师范大学学报（自然科学版）》2010年第5期13-15,44,共4页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(10971197);宿迁学院科研基金资助项目(2008KY07)

摘　　要：在Banach空间中利用增算子不动点的迭代方法,获得了含间断项的二阶非线性常微分方程周期边值问题解的存在性及其迭代求法.By fixed point theorem and the iterative technique for increasing operators,the existence of solutions and the iterative technique of the periodic boundary value problem for nonlinear ordinary differential equation with discontinous terms in Banach spaces are obtained.

关 键 词：增算子 不动点 上下解 单调迭代方法 

分 类 号：O175.15[理学—数学]