摘要
用强连续算子半群理论证明了两不同部件并联可修系统解的存在唯一性和非负性 ,并通过研究相应算子的谱特征得到了该系统的稳定性 .
In present paper,we study the asymptotic behavior of a parallel repairable system with two non- identical units,we prove by strongly continuous semigroups of operators theory that there exists a unique non- negative solution of the system,the stability of the solution of this system is ob- tained by studying spectral properties of the operator corresponding to this system.
出处
《应用泛函分析学报》
CSCD
2003年第3期281-288,共8页
Acta Analysis Functionalis Applicata
基金
河南省教育厅自然科学基金 (2 0 0 0 110 0 14 )
关键词
强连续算子
半群
稳定性
唯一性
非负性
可修系统
parallel
repairable system
common- cause failure
semigroups of operators
