Abstract
In this paper we consider a von Karman equation of memory type utt+Δ2u−∫0tg(t−s)Δ2u(s)ds=[u,F(u)] with clamped boundary condition. We establish a decay result of solutions without imposing the usual relation between a kernel function g and its derivative. This result generalizes earlier ones to an arbitrary rate of decay, which is not necessarily of an exponential or polynomial decay.
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