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Journal of Applied Mathematics and Computing

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01-10-2016 | Original Research

Dynamics of master equations with time-recurrent structure

Authors: Muhammad Jamal, Yi Wang

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2016

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Abstract

For the nonautonomous master equation of a finite-state, continuous-time jumping-process with time-recurrent structure, we prove that any two probability distribution solutions will be asymptotic to each other provided that the transition rate matrix possesses at some time non-degenerate property (called as “neither decomposable nor splitting”). This extends the corresponding result for time-periodic cases in Earnshaw and Keener (SIAM J Appl Dyn Syst 9:220–237, 2010) to the time-recurrent structure including quasi-periodicity, almost-periodicity and almost-automorphy.

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Title: Dynamics of master equations with time-recurrent structure
Authors: Muhammad Jamal
Yi Wang
Publication date: 01-10-2016
Publisher: Springer Berlin Heidelberg
Published in: Journal of Applied Mathematics and Computing / Issue 1-2/2016
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-015-0927-1

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