General decay for a viscoelastic wave equation with strong time-dependent delay

Abstract

Abstract A viscoelastic wave equation with strong damping and strong time-dependent delay in the internal feedback is considered. Under the assumption | μ 2 | < 1 − d μ 1 $|\mu_{2}|<\sqrt{1-d}\mu_{1}$ , we establish the general decay of energy of the problem by using the energy perturbation method.

Keywords

• general decay
• wave equation
• memory
• delay feedbacks