Almost sure asymptotic stability of scalar stochastic delay equations: finite state Markov process (Q2888815)

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scientific article; zbMATH DE number 6042636
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Almost sure asymptotic stability of scalar stochastic delay equations: finite state Markov process
scientific article; zbMATH DE number 6042636

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    4 June 2012
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    scalar delay differential equations
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    Markov process
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    random parametric fluctuations
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    Almost sure asymptotic stability of scalar stochastic delay equations: finite state Markov process (English)
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    The authors explore the almost-sure asymptotic stability of scalar delay differential equations with random parametric fluctuations that are modelled by a Markov process with finitely many states. The almost-sure stability is found by the construction of an appropriate asymptotic expansion for the exponential growth rate. The text is enchanced by the presence of some concrete examples.
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