Abstract
This paper is concerned with the following partially dissipative viscoelastic Timoshenko system with damping mechanism acting only on the shear force, and with Dirichlet boundary conditions. We consider a very general relaxation function Under appropriate conditions on ξ and H, we establish a general stability result. The result is obtained under the assumption of equal speed of wave propagation. This work extends and generalizes many results in literature such as Alves et al. [On modeling and uniform stability of a partially dissipative viscoelastic Timoshenko system. SIAM J Math Anal. 2019;51(6):4520–4543].
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