摘要
结合单调迭代方法及Monch不动点定理给出了Banach空间二阶微分方程初值问题解的存在唯一性定理,对文献[1]中结果做了本质改进.
The initial value problems of second order differential equations in Banach spaces are discussed.By using the monotone iterative method and Mnch fixed points theorem,some existence and uniqueness theorems of solutions are obtained.which improve the related results in [1].
关键词
单调迭代方法
微分方程
初值问题
巴拿赫空间
解
monotone iterative method
Mnch fixed point theorem
measures of noncompactness
cone and partial ordering
