Exponential stability for a Timoshenko thermoelastic system with second sound and a time-varying delay term in the internal feedback

Abstract

The main goal of this paper is to investigate the exponential stability of the Timoshenko system in thermoelasticity of second sound with a time-varying delay term in the internal feedback. The well-posedness of the problem is assured by using the variable norm technique of Kato. Furthermore the stability of the system is shown by applying the energy method.