Well-posedness and stability of the repairable system with \(N\) failure modes and one standby unit

DOI10.1016/j.jmaa.2010.08.063zbMath1207.35065OpenAlexW2031985639MaRDI QIDQ616699

Fu Zheng, Chao Gao, Guang-Tian Zhu

Publication date: 12 January 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.08.063

zbMATH Keywords

exponential stabilityabstract Cauchy problem\(c_{0}\) semigroupsstrictly dominant eigenvalue

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) One-parameter semigroups and linear evolution equations (47D06) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

Quasi-compactness and irreducibility of queueing models ⋮ A cold system with two different components and a single vacation of the repairman ⋮ Convergence of positive operator semigroups

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