  This paper is dedicated to the investigation of the asymptotic behavior of a
delayed wave equation without the presence of any position term. First, it is
shown that the problem is well-posed in the sense of semigroups theory.
Thereafter, LaSalle's invariance principle is invoked in order to establish the
asymptotic convergence for the solutions of the system to a stationary position
which depends on the initial data. More importantly, without any geometric
condition such as BLR condition in the control zone, the logarithmic
convergence is proved by using an interpolation inequality combined with a
resolvent method.
