In this paper, we consider the non-autonomous reaction-diffusion equations with hereditary effects and the nonlinear term f satisfying the polynomial growth of arbitrary order p - 1 (p >= 2). The delay term may be driven by a function with very weak assumptions, namely, just measurability. We extend the asymptotic a priori estimate method (see [29]) to our problem and establish a new existence theorem for the pullback attractors in C-Lp (Omega) (p > 2) (see Th...
