关于BANACH空间中微分方程解的整体存在唯一性

ON THE GLOBAL EXISTENCE AND UNIQUENESS OF SOLRTIONS FOR DIFFERENTIAL EQUATION IN BANACH SPACE

本文利用比较方法和Kamke函数研究Banach空间中函数序列与其极限函数作为右端所构成的微分方程解的整体存在性以及具有不连续右端函数的微分方程解的整体存在唯一性,得出了相当普遍的一般性判别准则。

In this paper,we use the comparison method and kamke function to study the global existence of solutions for differential equations that functional series and its limit function are made up of as the right-hand in Banach spaces and also study the global existence and uniqueness for differential equations with the right-hand uncontinuation function in Banach space. Two general criteria are given.