Banach空间微分方程解的存在唯一性——为庆祝《纺织高校基础科学学报》创刊十周年而作  

Existence and Uniqueness of Solutions of Differential Equations in Banach Spaces

作　　者：庄海宜[1] 王凡[1] 

机构地区：[1]南通师范专科学校数学系

出　　处：《纺织高校基础科学学报》1997年第4期347-355,共9页Basic Sciences Journal of Textile Universities

摘　　要：以半序理论为依据，舍弃许多文献中广泛采用的紧性条件和耗散条件，利用单调迭代方法讨论了Ｂａｎａｃｈ空间中二阶常微分方程两点边值问题，一阶常微分方程初值问题和周期边值问题的解的存在唯一性．改进扩充了郭大钧、宋福民和孙经先等得到的结果．In this paper, by means of monotone iterative technique, the existence and uniqueness of solutions of the two point boundary value problem for second order differential equations and the initial value problem and periodic boundary value problem for first order differendial equations in Banach spaces are investigated. Some recent results are improved and extended .

关 键 词：BANACH空间 微分方程 初值 边值 解 

分 类 号：O241.8[理学—计算数学]