ASYMPTOTIC PROPERTY OF THE TIME-DEPENDENT SOLUTION OF A RELIABILITY MODEL

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	ASYMPTOTIC PROPERTY OF THE TIME-DEPENDENT SOLUTION OF A RELIABILITY MODEL
其他题名	ASYMPTOTIC PROPERTY OF THETIME-DEPENDENT SOLUTION OF A RELIABILITYMODEL
	Geni Gupur 1; Guo Baozhu 2
	2005
发表期刊	系统科学与复杂性：英文版
ISSN	1009-6124
卷号	18.0 期号:003 页码:319-339
摘要	We discuss a transfer line consisting of a reliable machine, an unreliable machine and a storage buffer. This transfer line can be described by a group of partial differential equations with integral boundary conditions. First we show that the operator corresponding to these equations generates a positive contraction C0-semigroup T(t), and prove that T(t) is a quasi-compact operator. Next we verify that 0 is an eigenvalue of this operator and its adjoint operator with geometric multiplicity one. Last, by using the above results we obtain that the time-dependent solution of these equations converges strongly to their steady-state solution.
其他摘要	We discuss a transfer line consisting of a reliable machine, an unreliable ma-chine and a storage buffer. This transfer line can be described by a group of partial differential equations with integral boundary conditions. First we show that the operator corresponding to these equations generates a positive contraction Co-semigroup T(￡), and prove that T(t) is a quasi-compact operator. Next we verify that 0 is an eigenvalue of this operator and its adjoint operator with geometric multiplicity one. Last, by using the above results we obtain that the time-dependent solution of these equations converges strongly to their steady-state solution.
关键词	Co-半群准契约算子伴随矩阵特征值
收录类别	CSCD
语种	中文
CSCD记录号	CSCD:1995606
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/55812
专题	中国科学院数学与系统科学研究院
作者单位	1.新疆大学 2.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Geni Gupur,Guo Baozhu. ASYMPTOTIC PROPERTY OF THE TIME-DEPENDENT SOLUTION OF A RELIABILITY MODEL[J]. 系统科学与复杂性：英文版,2005,18.0(003):319-339.
APA	Geni Gupur,&Guo Baozhu.(2005).ASYMPTOTIC PROPERTY OF THE TIME-DEPENDENT SOLUTION OF A RELIABILITY MODEL.系统科学与复杂性：英文版,18.0(003),319-339.
MLA	Geni Gupur,et al."ASYMPTOTIC PROPERTY OF THE TIME-DEPENDENT SOLUTION OF A RELIABILITY MODEL".系统科学与复杂性：英文版 18.0.003(2005):319-339.