Well-Posedness of the Gnedenko System with Multiple Vacations

Bilikiz Yunus; Abdukerim Haji

doi:10.4028/www.scientific.net/KEM.522.902

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HomeKey Engineering MaterialsKey Engineering Materials Vol. 522Well-Posedness of the Gnedenko System with...

Well-Posedness of the Gnedenko System with Multiple Vacations

Abstract:

We investigate the solution of the Gnedenko system with multiple vacation of a repairman. By using-semigroup theory of linear operators, we prove well-posedness and the existence of the unique positive dynamic solution of the system.

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Periodical:

Key Engineering Materials (Volume 522)

Pages:

902-909

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.522.902

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Online since:

August 2012

Authors:

Bilikiz Yunus, Abdukerim Haji

Keywords:

Gnedenko System, Positive C₀-Semigroup, Well-Posedness

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