Global Asymptotic Stability of Solutions of Nonautonomous Master Equations

@article{Earnshaw2010GlobalAS,
  title={Global Asymptotic Stability of Solutions of Nonautonomous Master Equations},
  author={Berton A. Earnshaw and James P. Keener},
  journal={SIAM J. Applied Dynamical Systems},
  year={2010},
  volume={9},
  pages={220-237}
}
We provide various conditions on the transition rate matrix of the (possibly nonautonomous) master equation of a finite-state, continuous-time jump process under which every probability distribution solution is globally asymptotically stable in the set of such solutions, thereby extending van Kampen's theorem for constant transition rate matrices. We propose a classification of the set of continuous, uniformly bounded transition rate matrices and show how our results fit into this… CONTINUE READING

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