A stability result for Thermoelastic Timoshenko system of second sound with distributed delay term

Abstract

In this paper we consider a one-dimensional linear thermoelastic system of  Timoshenko type with distributed delay term. The heat conduction is given by Cattaneo's law. Under an appropriate assumption between the weight of the
delay and the weight of the damping, we prove the exponential stability result will be shown without the usual assumption on the wave speeds. To achieve our goals, we make use of the energy method.