On singular limit dynamics for a class of retarded nonlinear partial differential equations

It is shown that there exist solutions for a class of retarded partial differential equations describing the problem of oscillations of a plate in a quasistatic setting. A long-time behaviour of the solutions is studied. The main result is the existence of a finite-dimensional global attractor for a wide domain of system's parameters. The connection between attractors for dynamical and quasistatic cases is investigated.