Holographic dark energy models with interactions and entropy corrections for different cutoffs in the Brans–Dicke cosmology

In the Brans–Dicke cosmology framework, we study holographic dark energy models with interaction and with power-law and logarithmic entropy corrections for different cutoffs. We consider conditions on the Brans–Dicke parameter compared with the conditions for the acceleration and phantom phases to show which entropy-corrected models can have acceleration and a phantom phase in the early Universe and at the present. Moreover, we determine which of the considered models are classically stable and which are unstable in early times and at the present.