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.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第21期221-224,共4页
Mathematics in Practice and Theory
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
differential equations in Banach spaces
Green's functions
increasing operatorswithout continuity' fixed point theorem