关于Banach空间闭子集上微分方程解的整体存在唯一性

ON THE GLOBAL EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR DIFFERENTIAL EQUATIONS ON CLOSED SUBSETS OF BANACH SPACE

本文利用比较方法和半内积的性质研究Banach空间闭子集上微分方程解的整体存在唯一性,给出了一些具有一般性的判别准则,所得结果推广了V.Lakshmikantham的几个主要定理。

In this paper,we use the comparison method and the properties of the semi-inner products to study the global existence and uniqueness of solutions for differential equations on closed subsets of Banach space. Some general criterions are given.