Robust attractors for a perturbed non-autonomous extensible beam equation with nonlinear nonlocal damping

The paper investigates the attractors and their robustness for a perturbed non-autonomous extensible beam equation with nonlinear nonlocal damping. We prove that the related evolution process has a finite-dimensional pullback attractor A_κ and a pullback exponential attractor M^κₑₓₚ for each extensibility parameter κ∈ [0,1], respectively, and both of them are stable on the perturbation κ. In particular, these stability holds for the global and exponential attractors when the non-autonomous dynamical system degenerates to an autonomous one, so the results of the paper deepen and extend those in recent literatures [22,33].