Asymptotic periodicity of recurrent flows in infinite networks

DOI10.1007/s00209-008-0410-xzbMath1220.05057OpenAlexW1986760902MaRDI QIDQ834786

Vera Keicher, Britta Dorn, Eszter Sikolya

Publication date: 27 August 2009

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-008-0410-x

zbMATH Keywords

transport equationpositive recurrenceasymptotic periodicityflow semigroupFoster's conditioninfinite directed graphsJacobs-Glicksberg-deLeeuw decomposition

Mathematics Subject Classification ID

Deterministic network models in operations research (90B10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items

Eventually and asymptotically positive semigroups on Banach lattices ⋮ Flows on metric graphs with general boundary conditions ⋮ On the asymptotic behaviour of semigroups for flows in infinite networks ⋮ Flows in networks with delay in the vertices ⋮ Well-posedness and stability of the repairable system with \(N\) failure modes and one standby unit ⋮ \(\mu\)-pseudo almost periodic solutions to some semilinear boundary equations on networks ⋮ Asymptotic behaviour of flows on reducible networks ⋮ The semigroup approach to transport processes in networks ⋮ Perturbations of finite networks and asymptotic periodicity of flow semigroups ⋮ Bi-continuous semigroups for flows on infinite networks

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