Memoirs of the Faculty of Engineering, Yamaguchi University
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Memoirs of the Faculty of Engineering, Yamaguchi University Volume 50 Issue 1
published_at 1999-10
On the pathwise exponential stability of nonlinear stochastic parabolic systems
非線形確率放物型システムの道ごとの指数安定性について
About This Article
Descriptions
This paper is concerned with the pathwise exponential stability of nonlinear stochastic partial differential equations. First, the concept of the stability and asymptotic stability to the nonlinear deterministic ordinary differential equation is stated and then the exponential stability of the nonlinear stochastic partial differential equation is explained. Secondly, the sufficient conditions to get the exponential stability of the nonlinear stability, it is shown that the pathwise exponential stability holds. Finally, through the simulation experiments, the conditions proposed here are examined.
Creator Keywords
pathwise exponential stability
nonlinear stochastic partial differential equation
Sobolev space
Other Article
PP. 45 - 51
PP. 71 - 76