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asymptoticpropertyofthetimedependentsolutionofareliabilitymodel
Geni Gupur1; Guo Baozhu2
2005
Source Publicationjournalofsystemsscienceandcomplexity
ISSN1009-6124
Volume018Issue:003Pages:319
AbstractWe 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.
Language英语
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/38787
Collection系统科学研究所
Affiliation1.新疆大学
2.中国科学院数学与系统科学研究院
Recommended Citation
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.
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