具有常规原因和人为错误的两个不同部件并行系统的非弱解存在唯一  

The Existence and Uniqueness of the Nonnegative Weak Solution of a Two Non-identical Unit Parallel System with Cause Failures and Human Errors

作　　者：尹慧[1] 乔兴[2,3] 张学润[1] 

机构地区：[1]吉林大学农学部数学教研室,吉林长春130062 [2]大庆师范学院数学系,黑龙江大庆163712 [3]北京信息控制研究所,北京100037

出　　处：《延边大学学报（自然科学版）》2009年第2期112-115,共4页Journal of Yanbian University（Natural Science Edition）

摘　　要：讨论了一个由于常规原因和人为错误引起故障的两个不同部件并行系统的模型,修复后的故障系统恢复正常.在假设故障系统修复率非常数的前提下,利用可修系统算子生成的Banach空间中的正压缩c0半群的性质及泛函分析的方法,证明了该系统具有唯一非负时间依赖弱解.A model with common cause failure and human error analysis of a two non-identical unit parallel system is presented. The failed system is repaired back to its normal operating state. On the basis of the assumption that the repair rate of the failed system is not a constant, we prove the existence and uniqueness of the non-negative weak solution depended on time of the system by the positive co semigroup which is generated by system operator in Banach space and functional analysis method.

关 键 词：可修复系统 积分-微分方程组 算子半群 C0半群 非负弱解 

分 类 号：O177.92[理学—数学]