两不同部件并联可修系统解的稳定性  

The Stability of Solution of A Parallel Repairable System With Two Non-Identical Unit

作　　者：郭卫华[1] 许跟起[2] 徐厚宝[3] 

机构地区：[1]驻马店教育学院数学系,河南驻马店463000 [2]山西大学数学系,山西太原030006 [3]北京信息与控制研究所,北京100037

出　　处：《应用泛函分析学报》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 )

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.

关 键 词：强连续算子 半群 稳定性 唯一性 非负性 可修系统 

分 类 号：O213.2[理学—概率论与数理统计]