Stability of A Class of Semilinear Stochastic Evolution Equations on Hilbert Space

Zhang Zhigang; Qin Mingda

doi:10.13374/j.issn1001-053x.1998.01.021

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Zhang Zhigang, Qin Mingda. Stability of A Class of Semilinear Stochastic Evolution Equations on Hilbert Space[J]. Chinese Journal of Engineering, 1998, 20(1): 93-98. doi: 10.13374/j.issn1001-053x.1998.01.021

Citation:

Zhang Zhigang, Qin Mingda. Stability of A Class of Semilinear Stochastic Evolution Equations on Hilbert Space[J]. Chinese Journal of Engineering, 1998, 20(1): 93-98. doi: 10.13374/j.issn1001-053x.1998.01.021

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Stability of A Class of Semilinear Stochastic Evolution Equations on Hilbert Space

doi: 10.13374/j.issn1001-053x.1998.01.021

Applied Science School, UST Beijing, Beijing 100083, China

Received Date: 1997-11-18
Available Online: 2021-08-27

Abstract

Abstract

Discusses the stability of semilinar stochastic evolution equations on Hilbert Space dY(t)=[AY(t) +f(Y(t))]dt + G(Y(t))dw(t). At first, in order to Study Stochatic asymp-totically stability, some concepts for mild-solution,, and the sufficiently conditions for this stability are obtained. Secondly, some new concepts of stability are defined. The main results make the finite dimensions extention and Ichika' results development.
- semilinear stochastic evolution equation,
- mild solution,
- Lyapunov method