In this paper, we are concerned with a memory-type Timoshenko system with Dirichlet boundary conditions and a very general class of relaxation functions. We prove the existence and uniqueness of solutions of the system as well as some new decay results which generalize and improve many earlier ones in the literature. We consider the case of equal-speeds and the case of non-equal-speeds of propagation. We also give some numerical illustrations and related comparisons.
Cite this article
Jamilu Hashim Hassan, Salim A. Messaoudi, Mostafa Zahri, Existence and New General Decay Results for a Viscoelastic Timoshenko System. Z. Anal. Anwend. 39 (2020), no. 2, pp. 185–222DOI 10.4171/ZAA/1657