Growth of solutions with positive initial energy to system of degeneratly damped wave equations with memory

We focus on growth of solutions of the problem Under condition p > max (m − 1, k + 1, l + 1, ϑ + 1, ϱ + 1), with positive initial energy, we will prove that the solutions of (1) satisfies lim t → ∞ ∑i = 1² \| uᵢ \|p + 1 → ∞ .