ASYMPTOTIC PROPERTY OF THE TIME-DEPENDENT SOLUTION OF A RELIABILITY MODEL
文献类型:期刊论文
作者 | Geni Gupur1; Guo Baozhu2 |
刊名 | 系统科学与复杂性:英文版
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出版日期 | 2005 |
卷号 | 18.0期号:003页码:319-339 |
关键词 | Co-半群 准契约算子 伴随矩阵 特征值 |
ISSN号 | 1009-6124 |
其他题名 | ASYMPTOTIC PROPERTY OF THETIME-DEPENDENT SOLUTION OF A RELIABILITYMODEL |
英文摘要 | 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 | 中文 |
CSCD记录号 | CSCD:1995606 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/55811] ![]() |
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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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