Stability for the beam equation with memory in non‐cylindrical domains

In this paper, we prove the exponential decay as time goes to infinity of regular solutions of the problem for the beam equation with memory and weak damping where is a non‐cylindrical domains of ?ⁿ⁺¹ (n?1) with the lateral boundary and α is a positive constant. Copyright © 2004 John Wiley & Sons, Ltd.