Mathematical behavior of solutions for a logarithmic p-Laplacian equation with distributed delay

In this article, we concerned with a logarithmic p-Laplacian equation with distributed internal delay. Firstly, we obtain the global existence of solutions by utilizing the well-depth method. Later, under appropriate assumptions on the weight of the delay and that of frictional damping, we establish the exponential decay. Moreover, we obtain the blow up results for negative initial energy.