文献类型：期刊文献

英文题名：Stability analysis of a complex standby system with constant waiting and different repairman criteria incorporating environmental failure

作者：Wang, Wen-Long[1];Xu, Gen-Qi[2]

机构：[1]Shaoxing Univ, Yuanpei Coll, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China;[2]Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China

年份：2009

卷号：33

期号：2

起止页码：724

外文期刊名：APPLIED MATHEMATICAL MODELLING

收录：SCI-EXPANDED(收录号：WOS:000261301400010)、、EI(收录号：20084311656170)、Scopus(收录号：2-s2.0-54049113101)、WOS

基金：The project is supported by the Natural Science Foundation of China (60473034).; The project is supported by the Natural Science Foundation of China (60474017).

语种：英文

外文关键词：Standby system; Well-posedness; Stability; C-0-semigroup; Positive solution

外文摘要：In this paper we investigate the solution of a complex standby system with constant waiting and different repairman criteria incorporating environmental failure. By using the method of functional analysis, especially, the C-0 semigroup theory of bounded linear operators oil Banach space, we prove the well-posedness and the existence of positive solution of the system. Under some appropriate hypothesis, we prove that the dynamic solution of the system converges its steady state in a stronger sense. (C) 2008 Elsevier Inc. All rights reserved.