Dynamical behavior of nonclassical diffusion equations with memory and lacking instantaneous damping.

In this paper, the asymptotic behavior of nonclassical diffusion equations with time‐dependent perturbed parameter and lacking instantaneous damping is considered on whole space 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 result obtained essentially extends and improves earlier ones. [ABSTRACT FROM AUTHOR]