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In this paper we consider a singular nonlocal viscoelastic problem with anonlinear source term and a possible damping term. We proved that if theinitial data enter into the stable set, the solution exists globally and decaysto zero with a more general rate, and if the initial data enter into theunstable set, the solution with non-positive initial energy as well as positiveinitial energy blows up in finite time. These are achieved by using thepotential well theory, the modified convexity method and the perturbed energymethod.

On decay and blow-up of solutions for a singular nonlocal viscoelastic problem with a nonlinear source term