WELL-POSEDNESS OF THE MODEL DESCRIBING A REPAIRABLE,STANDBY,HUMAN & MACHINE SYSTEM 被引量：5

WELL-POSEDNESS OF THE MODEL DESCRIBING A REPAIRABLE, STANDBY, HUMAN & MACHINE SYSTEM

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摘要 By using the strong continuous semigroup theory of linear operators we prove the existence of a unique positive time-dependent solution of the model describing a re-pairable, standby, human & machine system.

作者 Geni Gupur

机构地区 College of Mathematics and Systems Sciences

出处《Journal of Systems Science & Complexity》 SCIE EI CSCD 2003年第4期483-493,共11页 系统科学与复杂性学报（英文版）

基金 This research is supported by the Tianyuan Mathematics Foundation (No. 10226007) and the Science Foundation of Xinjiang University

关键词 C_0-semigroup dispersive operator conservative operator 人机系统可修理性可信任性适定性强连续半群线性算子积分微分方程

分类号 O152 [理学—基础数学]

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参考文献5

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同被引文献29

1Geni Gupur 1,3 , LI Xue-zhi 2,3 1.Department of Mathematics, Xinjiang University, Urumqi 830046,China2. Department of Mathematics, Xinyang Teachers College, Henan 464000, China3. Academy of Mathematics and System Sciences, Chinese Academy of Sci.Semigroup Method for a Mathematical Model in Reliability Analysis[J].Journal of Systems Science and Systems Engineering,2001,13(2):137-147. 被引量：14
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4GeniGupur,GUOBaozhu.ASYMPTOTIC PROPERTY OF THE TIME-DEPENDENT SOLUTION OF A RELIABILITY MODEL[J].Journal of Systems Science & Complexity,2005,18(3):319-339. 被引量：9
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引证文献5

1徐厚宝,徐文兵,于景元,朱广田.软件再生系统解的渐近稳定性分析[J].数学的实践与认识,2004,34(12):112-118. 被引量：16
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1周莉,张敬,魏新.具有软硬件可修复计算机系统解的半离散化[J].辽宁工程技术大学学报（自然科学版）,2012,31(2):276-279.
2胡薇薇.具有热储备的可修复平行系统在由常规错误引起失效下的渐进稳定性(英文)[J].应用泛函分析学报,2006,8(1):5-20. 被引量：6
3王伟华,王辉.关于人口发展方程半离散算法的研究[J].数学的实践与认识,2007,37(1):77-83. 被引量：9
4李洪霞,金爱冬.具有早期储备可修复收入系统的谱分析[J].数学的实践与认识,2007,37(5):89-95.
5徐厚宝,柳合龙,朱广田.可修复系统解的适定性及最优检测时间[J].系统科学与数学,2008,28(3):265-274. 被引量：6
6胡晓晓,范伟峰.两同型部件温贮备可修系统解的指数渐近稳定性[J].数学的实践与认识,2009,39(6):133-146. 被引量：2
7陶有德,乔兴,于景元,朱广田.一类可修复计算机系统的数学模型[J].信阳师范学院学报（自然科学版）,2010,23(3):330-332. 被引量：6
8陶有德,武津刚,郑爱华.一类可修复计算机系统的最优控制问题[J].数学的实践与认识,2010,40(22):162-167.
9陶有德,于景元,朱广田.一类可修复计算机系统的稳定性和可靠性[J].信阳师范学院学报（自然科学版）,2011,24(1):18-21. 被引量：3
10周莉,王伟华,谢守波.定常年龄结构人口方程在L^p[0,r_m]空间上的半离散化[J].哈尔滨理工大学学报,2011,16(3):95-97. 被引量：1

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8HU Linmin,YUE Dequan,TIAN Ruiling.Availability Equivalence Analysis of a Repairable Multi-State Series-Parallel System[J].Journal of Systems Science & Complexity,2016,29(6):1596-1616. 被引量：1
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10SHI Ding hua, XIONG Yong, XU Hong College of Sciences, Shanghai University, Shanghai 200436, China.C_0-Semigroup Method of the Density Evolution Equation for M/M/∞ Model[J].Journal of Shanghai University(English Edition),2001,5(4):265-268.

Journal of Systems Science & Complexity

2003年第4期

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WELL-POSEDNESS OF THE MODEL DESCRIBING A REPAIRABLE,STANDBY,HUMAN & MACHINE SYSTEM 被引量：5

参考文献5

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引证文献5

二级引证文献16

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