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一类可修串联系统解的存在唯一性 被引量:3

Reliability analysis of a series system with repair
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摘要 研究了具有N个单元可修系统的模型,首先把用微分积分方程描述的模型转换为N+1维空间的积分方程形式,然后运用泛函分析Banach空间下的Volterra算子方程理论,得到了系统非负强解存在且唯一. The repairable system with N units was discussed. First we transformed the system which described by integro-differential equations to the integration equations of N + 1 dimensions space. In Banach space we have proved the existence and uniqueness of the nonnegative strong solution of this system with the theory of Volterra operator in function analysis.
作者 方明 乔兴
出处 《延边大学学报(自然科学版)》 CAS 2006年第2期100-102,共3页 Journal of Yanbian University(Natural Science Edition)
关键词 串联系统 积分-微分方程组 非负强解 series system Integro-differential equations nonnegative strong solution
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参考文献1

  • 1[1]Who Kee CHUNG.Reliability analysis of a series system with repair[J].Microelectron Reliab,1991,31(23):363-365.

同被引文献17

  • 1张玉峰,乔兴.在常规故障和临界人为错误条件下具有易损坏储备部件复杂系统的可靠性分析[J].数学的实践与认识,2005,35(7):195-206. 被引量:19
  • 2乔兴,韩筱爽.一类可修串联系统非负弱解的存在唯一[J].延边大学学报(自然科学版),2007,33(2):98-100. 被引量:2
  • 3Who Kee CHUNG. Reliability Analysis of a Series System with Repair [J]. Microelectron Reliab, 1991,31(23) : 363-365.
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