Banach空间中不具连续条件的微分方程

ON DIFFERENTIAL EQUATIONS WITHOUT CONTINUOUS CONDITIONS IN BANACH SPACES

首次引入Banach空间中方向连续与方向Lipshitz条件概念,并由此得到在这类条件下微分方程解存在的一些结果.

We first introduce the conceptions of directional continuous and directional Lipshitz conditions in Banach spaces. Under these conditions, we get some existence results of differential equations in Banach spaces.