摘要
本文讨论紧区间上的C^1光滑函数,用6-网构造法证明了这种函数集合列紧的一个判据,从而使著名的Ascoli-Arzela引理在光滑情形下得到推广,这一结果对讨论光滑动力系统有重要意义。
By constructing e-nets a sufficient and necessary condition of sequential compactness for sets of C1-smooth functions is given, which extends the well-known Ascoli-Arzela's Lemma in C1-smooth case and provides a tool to discuss smooth dynamical systems.
出处
《数学的实践与认识》
CSCD
1997年第4期372-375,共4页
Mathematics in Practice and Theory
