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广义算子半群遍概率逼近问题研究

仓定帮 魏静 隋丽丽 葛世刚

安徽大学学报(自然科学版)2017,Vol.41Issue(2):54-60,7.
安徽大学学报(自然科学版)2017,Vol.41Issue(2):54-60,7.DOI:10.3969/j.issn.1000-2162.2017.02.007

广义算子半群遍概率逼近问题研究

Probabilistic approximations for generalized operator semigroups

仓定帮 1魏静 1隋丽丽 1葛世刚1

作者信息

  • 1. 华北科技学院基础部,北京101601
  • 折叠

摘要

Abstract

As a generalization of the classical semigroups,generalized semigroup was very useful for solving the well-posedness problem of singular distributed parameter system.By means of generalized continuous modified modulus,the second steklov operator and operator-valued mathematical expect the probabilistic approximation theories were given for generalized operator semigroups.The probabilistic approximations representation was given for several common probability distributions.

关键词

广义算子半群/连续修正模/概率逼近

Key words

generalized operator semigroup/continuous modified modulus/probabilistic approximations

分类

数理科学

引用本文复制引用

仓定帮,魏静,隋丽丽,葛世刚..广义算子半群遍概率逼近问题研究[J].安徽大学学报(自然科学版),2017,41(2):54-60,7.

基金项目

中央高校基本科研基金资助项目(3142014039,3142013039,3142014127) (3142014039,3142013039,3142014127)

华北科技学院重点学科基金资助项目(HKXJZD201402) (HKXJZD201402)

安徽大学学报(自然科学版)

OA北大核心CSTPCD

1000-2162

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