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无穷区间上一类抽象函数族相对紧的判定及其应用
  • ISSN号：1000-0577
  • 期刊名称：系统科学与数学
  • 时间：0
  • 页码：370-378
  • 语言：中文
  • 分类：O174.41[理学—数学;理学—基础数学] O174.5[理学—数学;理学—基础数学]
  • 作者机构：[1]曲阜师范大学数学科学学院,曲阜273165, [2]青岛农业大学理学院,青岛266109
  • 相关基金：国家自然科学基金（10771117）和高等学校博士生专项基金（20060446001）资助项目
  • 相关项目：非线性泛函分析和在微分方程中的应用
作者： 刘振斌|赵静|刘立山|
关键词： 相对紧, 充要条件, 等度连续, 终值问题, Relative compactness, sufficient and necessary condition, equicontinuous, terminal value problems.
中文摘要：

给出了无穷区间上一类抽象连续可微函数族相对紧性判定的一个充要条件，并应用它获得了二阶微分方程终值问题解的存在性．

英文摘要：

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.

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非线性泛函分析和在微分方程中的应用
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期刊信息
  • 《系统科学与数学》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院
  • 主编：张纪峰
  • 地址：北京中关村中国科学院系统科学研究所
  • 邮编：100190
  • 邮箱：jssms@iss.ac.cn
  • 电话：010-62555263
  • 国际标准刊号：ISSN：1000-0577
  • 国内统一刊号：ISSN：11-2019/O1
  • 邮发代号:2-563
  • 获奖情况:
  • 1997年数学类期刊影响因子第三名,2000年获中科院优秀期刊三等奖,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:6798