Pullback attractors and upper semicontinuity for non-autonomous extensible two-beams

In this paper we study the long-time dynamics for non-autonomous extensible non-symmetric two-beams. The governing equations describe equilibria of an elastically-coupled two-beams system subject to damping terms and evenly compressive axial loads. Under quite general assumptions on nonlinear sources based semigroups theory monotone operators, establish existence uniqueness weak strong solutions. We prove pullback attractors in natural space energy. Finally, regularity family its upper semicontinuous with respect perturbed parameters.