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

Abstract

In this work, we consider a logarithmic Lamé 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 Lamé 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.