Pullback exponential attractors for hyperbolic equations with delays and nonlocal damping

In this paper, the dynamical behavior of nonlocal damped hyperbolic equations with delays is considered. Firstly, based on the Faedo–Galerkin method and the theory of monotone operators, we prove the global well-posedness of the problem (1.1). Secondly, due to the mixed difficulties caused by the nonlocal damping and delays, we obtain a refined dissipation estimates to derive a bounded absorbing set. Finally, we adopt the quasi-stability method to establish the existence of a pullback exponential attractor of the system (1.1).