Banach空间一阶微分方程周期解的存在唯一性

Existence and uniqueness of periodic solutions for first order differential equations in Banach spaces

在一般Banach空间中 ,利用单调迭代方法获得了一阶微分方程周期解的存在唯一性 。

Using monotone iterative method,some existence and uniqueness results of periodic solutions for first order ordinary differential equations are obtained.The error estimate of the interative sequence of appoximation solutions is also given.