This paper is devoted to the study of existence, uniqueness, continuous
dependence, general decay of solutions of an initial boundary value
problem for a viscoelastic wave equation with strong damping and
nonlinear memory term. At first, we state and prove a theorem involving
local existence and uniqueness of a weak solution. Next, we establish a
sufficient condition to get an estimate of the continuous dependence of
the solution with respect to the kernel function and the nonlinear
terms. Finally, under suitable conditions to obtain the global solution,
we prove the general decay property with positive initial energy for
this global solution.