  This work is concerned with a singularly perturbed stochastic nonlinear wave
equation with a random dynamical boundary condition. A splitting skill is used
to derive the approximating equation of the system in the sense of probability
distribution, when the singular perturbation parameter is sufficiently small.
The approximating equation is a stochastic parabolic equation when the power
exponent of singular perturbation parameter is in $[1/2, 1)$, but a
deterministic hyperbolic (wave) equation when the power exponent is in $(1,
+\infty)$.
