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导数是外可逆时方程G（x）=0的解的分布状况
  • ISSN号：1000-0984
  • 期刊名称：《数学的实践与认识》
  • 时间：0
  • 分类：O122.2[理学—数学;理学—基础数学] O177.2[理学—数学;理学—基础数学]
  • 作者机构：[1]哈尔滨师范大学
  • 相关基金：国家自然科学基金资助项目（10671049）
作者： 迟楠[1], 王玉文[1]
关键词： 叠代序列, 外可逆, 强F-可微, 外逆, Iterative , Invertible , Strong Fr6chet - differentiability , Outer inverse
中文摘要：

利用强F-可微及叠代序列研究了不满足隐函数定理的正常条件时，方程G（x）=0的解的分布状况．这里G：X→Y是强F-可微的，X与Y均为Banach空间．

英文摘要：

In this paper, we use strong Frébet differentiability and iterative sequence to discuss the solution of the equation G（x） =0 when the usual conditions of the implicit function theorem are not satisfied . Here G： X→Y is a strong F - differentiability, and X, Y are both Banach spaces.

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期刊信息
  • 《数学的实践与认识》
  • 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：林群
  • 地址：北京大学数学科学学院
  • 邮编：100871
  • 邮箱：bjmath@math.pku.edu.cn
  • 电话：010-62759981
  • 国际标准刊号：ISSN：1000-0984
  • 国内统一刊号：ISSN：11-2018/O1
  • 邮发代号:2-809
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,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:22973