Proceedings of the 2017 International Conference on Applied Mathematics, Modeling and Simulation (AMMS 2017)

Well-posedness of the Gnedenko System with Multiple Delay Vacations of a Repairman

Authors
Mahsut Rozi, Abdukerim Haji, Abdugeni Osman
Corresponding Author
Mahsut Rozi
Available Online November 2017.
DOI
10.2991/amms-17.2017.77How to use a DOI?
Keywords
gnedenko system; C_0-semigroup; dynamic solution
Abstract

The Gnedenko system with multiple delay vacations of a repairman is investigated. The well-posedness and the existence of the unique positive dynamic solution of the system are proved by using C_0 -semigroup theory of linear operators in the functional analysis.

Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2017 International Conference on Applied Mathematics, Modeling and Simulation (AMMS 2017)
Series
Advances in Intelligent Systems Research
Publication Date
November 2017
ISBN
978-94-6252-433-0
ISSN
1951-6851
DOI
10.2991/amms-17.2017.77How to use a DOI?
Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Mahsut Rozi
AU  - Abdukerim Haji
AU  - Abdugeni Osman
PY  - 2017/11
DA  - 2017/11
TI  - Well-posedness of the Gnedenko System with Multiple Delay Vacations of a Repairman
BT  - Proceedings of the 2017 International Conference on Applied Mathematics, Modeling and Simulation (AMMS 2017)
PB  - Atlantis Press
SP  - 345
EP  - 348
SN  - 1951-6851
UR  - https://doi.org/10.2991/amms-17.2017.77
DO  - 10.2991/amms-17.2017.77
ID  - Rozi2017/11
ER  -