On singular limit dynamics for a class of retarded nonlinear partial differential equations
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 4 (1997) no. 1
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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.