asymptoticpropertyofthetimedependentsolutionofareliabilitymodel

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	asymptoticpropertyofthetimedependentsolutionofareliabilitymodel
	Geni Gupur 1; Guo Baozhu2
	2005
发表期刊	journalofsystemsscienceandcomplexity
ISSN	1009-6124
卷号	018 期号:003 页码:319
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.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/38787
专题	系统科学研究所
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. asymptoticpropertyofthetimedependentsolutionofareliabilitymodel[J]. journalofsystemsscienceandcomplexity,2005,018(003):319.
APA	Geni Gupur,&Guo Baozhu.(2005).asymptoticpropertyofthetimedependentsolutionofareliabilitymodel.journalofsystemsscienceandcomplexity,018(003),319.
MLA	Geni Gupur,et al."asymptoticpropertyofthetimedependentsolutionofareliabilitymodel".journalofsystemsscienceandcomplexity 018.003(2005):319.