关键词: 一致随机吸引子, 时滞, 白噪声, 存在性

Abstract: We considered the existence of uniform  random attractors for a class of delay parabolic equations with additive noise and non-autonomous external force terms on the smooth  bounded domains. Firstly, through the uniform estimation of the solution, we obtained  that the solution of the equation had a closed uniform pullback absorbing set with respect to the symbol space. Secondly, by Sobolev imbedding theorem and Arzela-Ascoli theorem,
the uniform pullback compactness of the solution was obtained.  Finally, the existence and uniqueness of uniform random attractor was proved.

Key words: uniform random attractor, delay, white noise, existence