Electronic Journal of Differential Equations, Vol. 2007(2007), No. 113, pp. 1-7. Title: A blow-up result for a viscoelastic system in $\mathbb{R}^n$ Authors: Mohammad Kafini (Dammam Community College, Saudi Arabia) Salim A. Messaoudi (KFUPM, Dhahran, Saudi Arabia) Abstract: In this paper we consider a coupled system of nonlinear viscoelastic equations. Under suitable conditions on the initial data and the relaxation functions, we prove a finite-time blow-up result. Submitted February 14, 2007. Published August 18, 2007. Math Subject Classifications: 35B05, 35L05, 35L15, 35L55. Key Words: Blow up; coupled system; relaxation function; viscoelastic.