Abstract:In this paper we study the equation of viscoelasticitywith the nonlinear damping term on the boundary. Making use of the so-called energy perturbation method and a comparison inequality we prove the relationship between decay rate of solutions and f (x, t), that is, they have the same exponential decay or algebraic decay for the case F (s) = s + |s| α−2 (α 2), and for the case F (s) = |s| α−2 (α > 2), they have the same algebraic decay.
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