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一类带有断接部件影响的两部件可修复系统的适定性

彭培让

河南科技大学学报(自然科学版)2012,Vol.33Issue(6):82-86,5.
河南科技大学学报(自然科学版)2012,Vol.33Issue(6):82-86,5.

一类带有断接部件影响的两部件可修复系统的适定性

Well-Posedness of a Two-unit Repairable System with Connecting and Disconnecting Effect

彭培让1

作者信息

  • 1. 河南教育学院数学系,河南郑州450046
  • 折叠

摘要

Abstract

In this paper, the well-posedness of a repairable system with connecting and disconnecting effect, which consists of two same units connected in series,was studied. First,the system equations could be rewritten into an abstract Cauchy problem on Banach space equivalently. Then by the semigroup theory of linear operators on Banach space and the semigroup theory of positive linear operators on Banach lattices, the well-posedness, the existence of dynamic positive solution,and the conservative property of the system were proved.

关键词

压缩Co半群/正压缩Co半群/可修系统/适定性

Key words

Contraction Co semigroup/ Positive contraction Co semigroup / Repairable system / Well-posedness

分类

数理科学

引用本文复制引用

彭培让..一类带有断接部件影响的两部件可修复系统的适定性[J].河南科技大学学报(自然科学版),2012,33(6):82-86,5.

基金项目

河南省基础与前沿技术基金项目(122300410116) (122300410116)

河南省教育厅自然科学基金项目(12B140018) (12B140018)

河南科技大学学报(自然科学版)

OA北大核心CSTPCD

1672-6871

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