Banach空间微分方程弱解的存在性和唯一性

Existence and Uniqueness of Weak Solutions of Differential Equations in a Banach Space

通过使用弱耗散型条件，给出了弱完备Ｂａｎａｃｈ空间Ｅ中微分方程的Ｃａｕｃｈｙ问题弱解的存在性和唯一性，改进和推广了［１］中的结果。

In this paper, the author gives the existence and uniqueness of solutions of differential equations in a Banach space by using weak dissipative type conditions in a weak complete Banach space,improving and extending the results in [1].