The exponential stability for stochastic delay partial differential equations (Q879102)

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scientific article; zbMATH DE number 5149556
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The exponential stability for stochastic delay partial differential equations
scientific article; zbMATH DE number 5149556

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    The exponential stability for stochastic delay partial differential equations (English)
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    4 May 2007
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    This paper deals with the exponential stability problem for nonlinear stochastic functional differential equations with finite delays. The author investigates the existence of a solution satisfying an energy equality and obtains the conditions for exponential stability of the zero solution using the evaluations of the coefficient functions.
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    stochastic partial functional differential equations
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    energy solutions
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    energy equation
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    exponential stability
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