EXISTENCE AND UPPER SEMI-CONTINUITY OF RANDOM ATTRACTORS FOR NON-AUTONOMOUS STOCHASTIC PLATE EQUATIONS WITH MULTIPLICATIVE NOISE ON <inline-formula><tex-math id="M1">$ \mathbb{R}^N $</tex-math></inline-formula>

Abstract

<abstract> Based on the abstract theory of random attractors of non-autonomous non-compact dynamical systems, we investigate existence and the upper semi-continuity of random attractors for the non-autonomous stochastic plate equations with multiplicative noise defined on the entire space $ \mathbb{R}^n $. We extend and improve the results of [<xref ref-type="bibr" rid="b42">42</xref>] not only from the additive white noise to the multiplicative white noise, but also from the time-independent of forcing term $ g(x) $ to the time-dependent forcing term $ g(x, t) $. </abstract>