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In this paper, a Timoshenko system with a delay term and a thermo-viscoelastic damping of type III subjected to Dirichlet–Dirichlet–Neumann boundary conditions will be considered. Exploiting energy method to produce a suitable Lyapunov functional, we establish the global existence and exponential decay of energy for Timoshenko system of type III.

Exponential stability in a Timoshenko system of type III