A Semigroup Approach to the System with Primary and Secondary Failures | Zendy

Abdukerim Haji | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

A Semigroup Approach to the System with Primary and Secondary Failures

Author(s) -

Abdukerim Haji

Publication year - 2010

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2010/201682

Subject(s) - mathematics , semigroup , exponential stability , spectral theory , state (computer science) , primary (astronomy) , spectral properties , pure mathematics , algorithm , hilbert space , physics , quantum mechanics , nonlinear system , chemistry , computational chemistry , astronomy

We investigate the solution of a repairable parallelsystem with primary as well as secondary failures. By using the method of functionalanalysis, especially, the spectral theory of linear operators and the theory of C0-semigroups, we prove well-posedness of the system and the existence of positivesolution of the system. And then we show that the time-dependent solution stronglyconverges to steady-state solution, thus we obtain the asymptotic stability of thetime-dependent solution

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research