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半群的拟紧性和不可约性
  • ISSN号：1000-4424
  • 期刊名称：《高校应用数学学报：A辑》
  • 时间：0
  • 分类：O177.2[理学—数学;理学—基础数学]
  • 作者机构：[1]渤海大学数学系,辽宁锦州121002, [2]中国科学院数学与系统科学研究院系统控制实验室,北京100190
  • 相关基金：国家自然科学基金（11201037;10371070）
作者： 郑福[1,2], 王佳妮[1]
关键词： C0半群, 拟紧性, 不可约性, 可修复系统, C0-semigroups, quasi-compactness, irreducibility, repairable system
中文摘要：

利用算子半群生成元的边界扰动方法,给出了Banach格上C0半群的拟紧性和不可约性的充分条件.并利用该结果对一串联可修复系统的拟紧性和不可约性进行了研究.

英文摘要：

In this paper, by using the boundary perturbation of the generator, the sufficient conditions for the quasi-compactness and irreducibility of the C0-semigroups on Banach lattice were given. Then apply these sufficient conditions to study the quasi-compactness and irreducibility of a series repairable system.

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期刊信息
  • 《高校应用数学学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:浙江大学 中国工业与应用数学学会
  • 主编：林正炎 李大潜
  • 地址：杭州市玉泉浙江大学数学系
  • 邮编：310027
  • 邮箱：amjcu@zjy.edu.cn
  • 电话：0571-87951602
  • 国际标准刊号：ISSN：1000-4424
  • 国内统一刊号：ISSN：33-1110/O
  • 邮发代号:
  • 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:3669