Asymptotic exponential stability for diffusion processes driven by stochastic differential equations in duals of nuclear spaces
DOI10.2977/prims/1145477224zbMath1011.93107OpenAlexW1978539823MaRDI QIDQ1596542
Kai Liu, Tomás Caraballo Garrido
Publication date: 1 June 2003
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2977/prims/1145477224
strong solutionsmean square exponential stabilityexponential stability of paths with probability oneHilbertian nuclear space
Asymptotic stability in control theory (93D20) Random operators and equations (aspects of stochastic analysis) (60H25) Stochastic stability in control theory (93E15) Control/observation systems in abstract spaces (93C25)
Cites Work
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- Infinite dimensional stochastic differential equation models for spatially distributed neurons
- Stochastic evolution equations driven by nuclear-space-valued martingales
- Stability of semilinear stochastic evolution equations
- Asymptotic stability of the linear Ito equation in infinite dimensions
- On stability for a class of semilinear stochastic evolution equations
- On exponential stability criteria of stochastic partial differential equations
- Diffusion equations in duals of nuclear spaces
- A stochastic model of neural response
- On the pathwise exponential stability of non–linear stochastic partial differential equations
- Asymptotic stability and spiraling properties for solutions of stochastic equations
- Stochastic Equations in Infinite Dimensions
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