Semigroup method for a deteriorating system with multiple vacations of a repairman

Semigroup method for a deteriorating system with multiple vacations of a repairman

By using the method of functional analysis, especially C 0 -semigroup theory and spectral theory of linear operators we prove the well-posedness and the existence of a unique positive dynamic solution of a deteriorating system with multiple vacations of a repairman. Moreover, we show spectral proper...

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Veröffentlicht in:Semigroup forum 2021-04, Vol.102 (2), p.477-494
Hauptverfasser: Muhtar, Muhtabar, Haji, Abdukerim, Rozi, Mahsut, Hoshur, Abdulla
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Functional analysis
Linear operators
Mathematics
Mathematics and Statistics
Operators (mathematics)
Research Article
Spectral theory
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Zusammenfassung:By using the method of functional analysis, especially C 0 -semigroup theory and spectral theory of linear operators we prove the well-posedness and the existence of a unique positive dynamic solution of a deteriorating system with multiple vacations of a repairman. Moreover, we show spectral properties of the system operator which imply that the system does not have a steady-state solution.
ISSN:0037-1912
1432-2137
DOI:10.1007/s00233-020-10144-z