Banach空间中微分方程饱和解的判别准则

The Distinguishing Rule of the Saturated Solutions of Defferential Equations in Banach Space

本文将欧氏空间上解的延展性定理推广到Ｂａｎａｃｈ空间．得到了Ｂａｎａｃｈ空间中判别一个给定解是否为饱和解的准则，并讨论了该准则的应用．

In this paper,the extension theorem of solution in Eulid space is spreaded to Banach space and the rule of judging if a given solution is a saturated solution in Banach space is obtained. In the meantime, the application of this rule is discussed.