Limit behavior of the solution to nonlinear viscoelastic Marguerre–von Kármán shallow shell system

This paper is concerned with the nonlinear full Marguerre–von Kármán shallow shell system with a dissipative mechanism of memory type. The model depends on one small parameter. The main purpose of this paper is to show that as the parameter approaches zero, the limiting system is the well-known full von Kármán model with memory for thin plates.