In this paper, the asymptotic behavior of nonclassical diffusion equations with time-dependent perturbed parameter and lacking instantaneous damping is considered on whole space Double-struck capital Rn$$ {\mathrm{\mathbb{R}}}n $$. The existence and regularity of time-dependent global attractors are proved by using a new analytical technique. It is remarkable that there is not any restriction on the upper growth of the nonlinearity f$$ f $$. The resul...
