%0 Journal Article
%T A GENERALIZATION AND APPLICATION OF ASCOLI-ARZELA THEOREM<br>Ascoli-Arzela定理的一个推广及应用
%A Wei GUO
%A <br>郭伟
%J 系统科学与数学
%D 2002
%I 
%X In this paper the sufficient condition and necessary condition are given for relative compactness of a class of abstract continuous function groups. By applying them, we prove the existence of solutions of terminal value problems for nonlinear first order differential equation and solutions for Fredholm integro-equation in Banach spaces.
%K Relative compactness
%K equicontinuity
%K fixed point theorem<br>相对紧
%K 等度连续
%K 不动点定理
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=9571EF69ADCF6124&yid=C3ACC247184A22C1&vid=BC12EA701C895178&iid=CA4FD0336C81A37A&sid=EDA22B444205D04A&eid=B62E0EEFE746E568&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=2&reference_num=4