Asymptotic Behavior of Random Reaction-diffusion Delay Equations Driven by Colored Noise

In this paper, we consider the asymptotic behavior of random reaction-diffusion delay equations driven by colored noise defined on unbounded domains. We firstly establish existence and uniqueness pullback attractors for continuous cocycle associated with equation, then convergence when approximates white noise. The methods uniform tail-estimate operator decomposition are employed to obtain compactness solutions in order overcome non-compactness Sobolev embeddings