Chinese Quarterly Journal of Mathematics ›› 2009, Vol. 24 ›› Issue (3): 458-463.

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The Linear Stability of a Solution of a Parallel Redundant Repairable System 

  

  1. Department of Information and Engineering, Xuchang Vocational Technical College
  • Received:2009-01-07 Online:2009-09-30 Published:2023-06-30
  • About author:WANG Hong-yan(1963- ), female, native of Luohe, Henan, an associate professor of Xuchang Vocational Technical College, engages in differential equation and applied mathematics; ZHAO Zhan-feng (1974- ), male(Huizu), native of Xuchang, Henan, a lecturer of Xuchang Vocational Technical College, engages in computer multimedia and applied mathematics; QI Zheng-shen(1963- ), male, native of Xuchang, Henan, a professor of Xuchang Vocational Technical College, M.S.D., engages in differential equation.
  • Supported by:
     Supported by the Nature Science Foundation of Henan Education Committee(2008A110022);

Abstract: In this paper, the solution of a parallel redundant repairable system is investigated.by using the method of functional analysis. Especially, the linear semigroups of operator theory on Banach space, we prove the existence of the strictly dominant eigenvalue, and show the linear stability of solution.

Key words: redundant, repairable system, strictly dominant eigenvalue, linear stability

CLC Number: