Banach空间中一阶初值问题整体解的存在性

Existence of global solutions for first order initial value problems in Banach spaces

在紧型条件下研究了一般Banach空间中一阶常微分方程初值问题整体解的存在性 .利用非紧性测度的性质与凝聚映射的Sadovskii不动点定理 ,获得了

The existence of global solutions for first order initial value problems in general Banach spaces is discussed under compact type conditions.The theory of noncompactness measue and Sadovskii fixed point theorem of condensing map are applied to these problems,and two existence results are obtained.