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A uniqueness theorem for the equations of generalized thermoelasticity with one relaxation time, derived by Dhaliwal and Sherief , is proved. The stability of the null solution in the sense of Liapounov, measured by a suitable norm, is shown. The corresponding equations for a homogeneous isotropic material, derived by Lord and Shulman  , are considered as a special case. *doi:10.1090/qam/872828 fatcat:3dyj53z46jcafd2zi2vcw7qpki