Asymptotic stability for a non-autonomous full von Kármán beam with thermo-viscoelastic damping

In this paper, we study the asymptotic behavior for a one-dimensional non-autonomous full von Karman beam with a thermo-viscoelastic damping in the internal feedback. By introducing a suitable energy and some Lyapunov functionals, under some restrictions on the non-autonomous functions and the relaxation function, we show the asymptotic behavior of the solution and establish a general decay result for the energy.