Stability of Nonlinear Functional Stochastic Evolution Equations of Second Order in Time

Description

Sufficient conditions for exponential mean square stability of solutions to delayed stochastic partial differential equations of second order in time are established. As a consequence of these results, the pathwise exponential stability of the system is also deduced. The stability results derived can be applied also to partial differential equations without hereditary characteristics. The results are illustrated with various examples.

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