Almost sure asymptotic stability of scalar stochastic delay equations: finite state Markov process (Q2888815)
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scientific article; zbMATH DE number 6042636
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 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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