In this paper, we investigate the asymptotic behavior for the non-autonomous stochastic [Formula: see text]-Laplacian equations with dynamic boundary conditions via the stationary Wong–Zakai approximations given by the Wiener shift. We first establish the existence and uniqueness of pullback random attractor for the Wong–Zakai approximation equations in [Formula: see text]. Then we prove the upper semi-continuity of random attractors in [Formula: see text] and [Formula: see text] when the step size of approximations approaches zero.
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Gao et al. (2024) studied this question.
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