典型文献
Dynamic Analysis of a Deteriorating System with Single Vacation of a Repairman
文献摘要：
In this paper,we investigate a deteriorating system with single vacation of a repairman.The system is described by infinite differential-integral equations with boundary conditions.Firstly,by using functional analysis methods,especially linear operator's Co-semigroup theory,we prove the well-posedness of the system and the existence of a unique positive dynamic solution that satisfies probability condition.Next,by analyzing the spectral properties of the system operator,we prove that all points on the imaginary axis except zero belong to the resolvent set of the system operator.Lastly,we prove that zero is not an eigenvalue of the system operator,which implies that the steady-state solution of the system does not exist.
文献关键词：
中图分类号：
作者姓名：
Xue-ping QI;Abdukerim HAJI;Muhtabar MUHTAR
作者机构：
School of Mathematics and Systems Science,Xinjiang University,Urumqi 830046,China
文献出处：
引用格式：
[1]Xue-ping QI;Abdukerim HAJI;Muhtabar MUHTAR-.Dynamic Analysis of a Deteriorating System with Single Vacation of a Repairman)[J].应用数学学报（英文版）,2022(03):690-709
A类：
Repairman,repairman,resolvent
B类：
Dynamic,Analysis,Deteriorating,System,Single,Vacation,In,this,paper,investigate,deteriorating,system,single,vacation,described,by,infinite,differential,integral,equations,boundary,conditions,Firstly,using,functional,analysis,methods,especially,linear,operator,Co,semigroup,theory,prove,well,posedness,existence,unique,positive,dynamic,solution,that,satisfies,probability,Next,analyzing,spectral,properties,points,imaginary,axis,except,zero,belong,set,Lastly,not,eigenvalue,which,implies,steady,state,does
AB值：
0.60726
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