General decay result for the wave equation with memory and acoustic boundary conditions

In this paper, we are concerned with the energy decay rates for the viscoelastic wave equation with acoustic boundary conditions. Here we consider with minimal conditions on the L1(0,∞) relaxation function α, namely α′(t)≤−ζ(t)G(α(t)), where G is an increasing and convex function near the origin and ζ is a nonincreasing function. Using the assumptions on the relaxation function α due to Mustafa (2018), we generalize the work of Park and Park (2011) and Liu (2014) to general decay.