TY - JOUR
T1 - On Asymptotic Behavior of the Time-Dependent Solution of a Reliability Model
AU - Gupur, Geni
JF - International Frontier Science Letters
VL - 2
SP - 1
EP - 11
SN - 2349-4484
PY - 2014
PB - SciPress Ltd.
DO - 10.18052/www.scipress.com/IFSL.2.1
UR - https://www.scipress.com/IFSL.2.1
KW - Eigenvalue
KW - Resolvents
KW - The System Consisting of Two Identical Units and a Repairman
AB - On the basis of our previous work we study asymptotic behavior of the time-dependent solution of a reliability model of two identical units and a repairman and prove the following result: If the repair rate μ(x) is Lipschitz continuous and there exist two positive constants μ and μ such that 0 < μ ≤μ(x)≤ μ < ∞, then its time-dependent solution exponentially converges to its steady-state solution.
ER -