  We study in this paper the well-posedness and stability of three structures
with interfacial slip and two infinite memories effective on the transverse
displacement and the rotation angle. We consider a large class of kernels and
prove that the system has a unique solution satisfying some regularity
properties. Moreover, without restrictions on the values of the parameters, we
show that the solution goes to zero at infinity and give an information on its
speed of convergence in terms of the growth of kernels at infinity. A numerical
analysis of the obtained theoretical results will be also given.
