Root Analysis Of A Reparable System With A Deteriorating Standby Unit

This paper presents a stochastic mathmatical model representing two units and one as a standby with critical human error and commen cause failure.First.the expression of resolvent and the number of eigenvalue is studied,and a eigenvalue corresponding to a eigenvector is proved.Second,we discuss and prove the asymptotic stability of the solution of systen that is (?),and we finish the proof of reliatility of the system.