DCDS
The exponential stability of neutral stochastic delay partial differential equations
Tomás Caraballo José Real T. Taniguchi
In this paper we analyze the almost sure exponential stability and ultimate boundedness of the solutions to a class of neutral stochastic semilinear partial delay differential equations. These kind of equations arise in problems related to coupled oscillators in a noisy environment, or in viscoeslastic materials under random or stochastic influences.
keywords: existence of solutions exponential stability. ultimate boundedness Neutral stochastic partial differential equations

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