Almost sure weak exponential stability with a certain decay function of semilinear stochastic evolution equations (Q621933)

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scientific article; zbMATH DE number 5842974
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Almost sure weak exponential stability with a certain decay function of semilinear stochastic evolution equations
scientific article; zbMATH DE number 5842974

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    Almost sure weak exponential stability with a certain decay function of semilinear stochastic evolution equations (English)
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    31 January 2011
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    The weak exponential stability with decay function of sample path, which are given by mild solution to a class of semilinear stochastic evolution equations, are presented. The analysis consists in using exponential martingale formula, Lyapunov functional and some special inequalities derived for our stability purpose. Two examples are given to illustrate the theory.
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    exponential stability
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