  In this paper, we study a class of initial boundary value problem (IBVP) of
the Korteweg- de Vries equation posed on a finite interval with nonhomogeneous
boundary conditions. The IBVP is known to be locally well-posed, but its global
$L^2 $ a priori estimate is not available and therefore it is not clear whether
its solutions exist globally or blow up in finite time. It is shown in this
paper that the solutions exist globally as long as their initial value and the
associated boundary data are small, and moreover, those solutions decay
exponentially if their boundary data decay exponentially
