The exponential stability of neutral stochastic delay partial differential equations
Tomás Caraballo, José Carlos Gamazo Real, Takeshi Taniguchi · Discrete and Continuous Dynamical Systems · 2007
In this paper we analyze the almost sure exponential stability andultimate boundedness of the solutions to a class of neutralstochastic semilinear partial delay differential equations. Thesekind of equations arise in problems related to coupled oscillatorsin a noisy environment, or in viscoeslastic materials under randomor stochastic influences.