Lyapunov function approach and stochastic stability in infinite-dimensional spaces (Q2767392)
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scientific article; zbMATH DE number 1697402
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lyapunov function approach and stochastic stability in infinite-dimensional spaces |
scientific article; zbMATH DE number 1697402 |
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29 January 2002
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Lyapunov stability
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stochastic differential equations in Hilbert spaces
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stochastic stability
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evolution equations
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stochastic delay equations
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Lyapunov function approach and stochastic stability in infinite-dimensional spaces (English)
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The authors present an expository survey on topics of Lyapunov stability of stochastic differential equations in Hilbert spaces. The paper is organized as follows: 1. Introduction to stochastic evolution equations and stochastic stability. 2. Stability of linear evolution equations. 3. Stability of nonlinear evolution equations. 4. Brief statement of some topics such as stability of stochastic delay equations and asymptotic growth bounds of stochastic evolution equations.
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