加权Banach空间中的抽象Cauchy-Kowalevskaja定理

The Abstract Cauchy-Kowalevskaja Theorem in a Weighted Banach Space

本文讨论了一类加权Ｂａｎａｃｈ空间，证明了Ｃａｕｃｈｙ－Ｋｏｗａｌｅｖｓｋａｊａ定理，推广了Ｓａｆｏｎｏｖ的结果。

A class of Banach spaces is considered as a single weighted Banach space. A variant of the high order Cauchy-Kowalevskaja theorem is proved,including the results of M.V.Safonov for the abstract Cauchy problem.