Dynamics Of A Delay Reaction-diffusion Equations With Non-autonomous Force

In this paper, we analyze the dynamics of the solutions of the following reaction-diffusion problem with non-autonomous force term and delay term:Assume Ω is a bounded and smooth domain, f satisfies: g∈L∞(R×CL2) satisfies: κ∈Lloc2(R;L2(Ω)) satisfies: where K,, α1,α2,l, Lg are positive constants, p>2.We obtain firstly some a priori estimates that allow us to analyze further the pullback attractors. Then we analyze the CL2-pullback attractors in the CL2+δ-topology. We prove that:the pullback attractors in CL2is CL2+δ pullback attracting.