Well-Posedness of an N-Unit Series System with Finite Number of Vacations - Journal of Applied Mathematics and Physics

JAMP > Vol.4 No.8, August 2016

Journal of Applied Mathematics and Physics

Volume 4, Issue 8 (August 2016)

ISSN Print: 2327-4352 ISSN Online: 2327-4379

Google-based Impact Factor: 0.70 Citations

Well-Posedness of an N-Unit Series System with Finite Number of Vacations ()

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DOI: 10.4236/jamp.2016.48169 1,669 Downloads 2,210 Views Citations

Author(s)

Abdugeni Osman, Abdukerim Haji

Affiliation(s)

College of Mathematics and Systems Science, Xinjiang University, Urumqi, China.

ABSTRACT

We investigate the solution of an N-unit series system with finite number of vacations. By using C0-semigroup theory of linear operators, we prove well-posedness and the existence of the unique positive dynamic solution of the system.

KEYWORDS

N-Unit Series System, C_0-Semigroup, Dynamic Solution, Well-Posedness

Share and Cite:

Osman, A. and Haji, A. (2016) Well-Posedness of an N-Unit Series System with Finite Number of Vacations. Journal of Applied Mathematics and Physics, 4, 1592-1599. doi: 10.4236/jamp.2016.48169.

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