%0 Journal Article
%T The Criterion of Relative Compactness for a Class of AbstractFunction Groups in an Infinite Interval and Its Applications<br>无穷区间上一类抽象函数族相对紧的判定及其应用
%A LIU Zhenbin
%A LIU Lishan
%A ZHAO Jing
%A <br>刘振斌
%A 刘立山
%A 赵静
%J 系统科学与数学
%D 2008
%I 
%X A sufficient and necessary condition is given for relative compactness of a class of abstract continuous function groups. By applying it, the existence of solutions of terminal value problems for second order differential equation is proved.
%K Relative compactness
%K sufficient and necessary condition
%K equicontinuous
%K terminal value problems<br>相对紧
%K 充要条件
%K 等度连续
%K 终值问题
%K 无穷区间
%K 类抽象
%K 函数族
%K 相对紧
%K 应用
%K APPLICATIONS
%K INTERVAL
%K GROUPS
%K FUNCTION
%K ABSTRACT
%K CLASS
%K COMPACTNESS
%K RELATIVE
%K 存在性
%K 题解
%K 终值
%K 二阶微分方程
%K 条件
%K 紧性
%K 连续可微
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=1850A8C2E1C3386B2F9CD07D865B03B5&yid=67289AFF6305E306&vid=D3E34374A0D77D7F&iid=38B194292C032A66&sid=0918129209B14F3E&eid=73648F51F187AC5E&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=8