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We study the existence, measurability and time-dependent property of pullback random attractors in the higher-order space for stochastic degenerate parabolic equations with variable delay defined onLet  X ,  Z  be the square integrable space and the  p -times ( p  &gt; 2) integrable space, respectively. We first prove the existence of a unique pullback-random attractorwithandand establish the forward compactness, measurability and long-time stability of the bi-spatial attractorin the higher-order spaceWe then investigate the higher-order delay-free stability ofinmore precisely, the upper semicontinuity ofunder the topology ofas the memory time tends to zero is established.

Higher-order robust attractors for stochastic retarded degenerate parabolic equations