Several continuities of a pullback random attractor for stochastic non-autonomous Zakharov lattice equations (Q6051258)

The paper mainly focuses on the dynamics of stochastic nonautonomous Zakharov lattice system. Several continuities including residual dense continuity, diagonally-invariant continuity, full stochastic continuity and full pre-continuity of the pullback random attractor on the time-sample plane with respect to the Hausdorff metric are proved. To this end, the conditions implying the joint continuity of the cocycle, the time-sample union closedness of the universe and the local compactness of the pullback random attractor are verified.