**AUTHORS:**Khaled Zennir, Saleh Boulaares, Ali Allahem

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**ABSTRACT:**
We consider a coupled system of viscoelastic wave equations. In weighted spaces, we shall prove a fast decay of energy associated to a coupled system with class of relaxation functions, as T → ∞ in IRn .

**KEYWORDS:**
Lyapunov function, viscoelastic, density, decay rate, weighted spaces, coupled system

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