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 |
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| container_end_page | 494 |
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| container_issue | 2 |
| container_start_page | 477 |
| container_title | Semigroup forum |
| container_volume | 102 |
| creator | Muhtar, Muhtabar Haji, Abdukerim Rozi, Mahsut Hoshur, Abdulla |
| description | 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. |
| doi_str_mv | 10.1007/s00233-020-10144-z |
| format | Article |
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| ispartof | Semigroup forum, 2021-04, Vol.102 (2), p.477-494 |
| issn | 0037-1912 1432-2137 |
| language | eng |
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| source | SpringerLink Journals - AutoHoldings |
| subjects | Algebra Functional analysis Linear operators Mathematics Mathematics and Statistics Operators (mathematics) Research Article Spectral theory |
| title | Semigroup method for a deteriorating system with multiple vacations of a repairman |
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