Banach空间二阶周期边值问题解的存在性  

Solutions for Second Order Periodic Boundary Value Problem in Banach Spaces

作　　者：王澜[1] 刘辉昭[2] 

机构地区：[1]河北经贸大学数学与统计学学院,河北石家庄050061 [2]河北工业大学理学院,天津300130

出　　处：《数学的实践与认识》2009年第21期221-224,共4页Mathematics in Practice and Theory

摘　　要：通过构造格林函数,借助Banach空间中不连续增算子的不动点定理,研究了一类Banach空间中二阶微分方程周期边值问题解的存在性.On the basis of the construct of Green＇s functions and the fixed point theorem for increasing operators without continuity, we are concerned with the existence of solutions for second order periodic boundary value problem in Banach spaces.

关 键 词：BANACH空间微分方程 格林函数 不连续增算子 不动点定理 

分 类 号：O175.8[理学—数学]