Stability of solutions of stochastic functional differential equations with an infinite previous history and Poisson switchings. II (Q5942030)
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scientific article; zbMATH DE number 1637758
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of solutions of stochastic functional differential equations with an infinite previous history and Poisson switchings. II |
scientific article; zbMATH DE number 1637758 |
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Stability of solutions of stochastic functional differential equations with an infinite previous history and Poisson switchings. II (English)
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4 March 2003
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To study the stability of the stochastic `dangling spider' model, the second Lyapunov method is substantiated for stochastic differential functional equations with the whole previous history. The problem of existence of stochastic Lyapunov-Krasovskij functionals is considered.
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stochastic functional differential equations
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weak infinitesimal operators
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asymptotic stability
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second Lyapunov method
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