Banach空间微分方程在闭集上解的存在性

THEE EXISTENCE OF THE SOLUTION OF DIFFERNTIAL EQUATION ON THE CLOSED SET IN BANACH SPACE

讨论了Ｂａｎａｃｈ空间闭集上初值问题ｘ′＝ｆ（ｔ，ｘ），ｘ（ｔ＿０）＝ｘ＿０在紧型条件下解的存在性，推广了《抽象空间常微分方程》一书中的结果．

The paper has discussed the existence of the solution of x′=f(t,x),x(t_0)=x_0,theinitial value problem on the closed set in Banach space under compact conditions,hence expanded some resultsof the book Differential Equalions in Abstract Space.