  In the framework of Brans-Dicke cosmology, we have studied the interacting
power-law and logarithmic entropy-corrected holographic dark energy models with
different cut-offs. The Brans-Dicke parameter is investigated versus the
conditions for the acceleration and phantom phases to show that which entropy
corrected model can exhibit acceleration with or without the phantom phase at
early and present time universes. Moreover, the classical stability or
instability of the interacting power-law and logarithmic entropy-corrected
holographic dark energy models with different cut-offs is determined at early
and present time
