Existence and decay for the logarithmic Lamé system with internal distributed delay

In this work, we consider a logarithmic Lam´e system with distributed delay term. Firstly, we study the well-posedness of solutions by using the semigroup theory. Then, we prove the solution of the Lam´e system is uniformly bounded and global in time. Finally, we prove the decay of the solution. Our results are more general than the earlier results.