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Using functional analytical and graph theoretical methods, we extend the results of [Kramar M. und Sikolya E.: Spectral properties and asymptotic periodicity of flows in networks. Math. Z. 249 (2005), 139–162] to more general transport processes in networks allowing space dependent velocities and absorption. We characterize asymptotic periodicity and convergence to an equilibrium by conditions on the underlying directed graph and the (average) velocities.
Published Online: 2007-06-14
Published in Print: 2007-05-23
© Walter de Gruyter