DCDS
The exponential stability of neutral stochastic delay partial differential equations
Tomás Caraballo José Real T. Taniguchi
Discrete & Continuous Dynamical Systems - A 2007, 18(2&3): 295-313 doi: 10.3934/dcds.2007.18.295
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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