IJPAM: Volume 101, No. 4 (2015)

FURTHER RESULT ON A REPAIRABLE, STANDBY,
HUMAN AND MACHINE SYSTEM

Maimaitiaizezi Aili$^1$, Geni Gupur$^2$
$^{1,2}$College of Mathematics and Systems Science
Xinjiang University
Urumqi, 830046, P.R. CHINA


Abstract. On the basis of our previous work, we study asymptotic behavior of the time-dependent solution of a repairable, standby, human & machine system and prove that its time-dependent solution exponentially converges to its steady-state solution.

Received: April 1, 2015

AMS Subject Classification: 47D03, 47A10, 90B25

Key Words and Phrases: $C_0-$ semigroup, resolvent, essential growth bound

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DOI: 10.12732/ijpam.v101i4.11 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 101
Issue: 4
Pages: 571 - 594


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