Billal Lekdim, Mohammed Aili, Ammar Khemmoudj

General Decay of a Singular Viscoelastic Wave Equation with Distributed Delay and Integral Condition

abstract:
In this paper, we consider a singular viscoelastic wave equation with a distributed delay and an integral condition. By introducing a suitable Lyapunov functional, under appropriate assumptions on the relaxation function and the delay weight, we establish a general decay result in which the exponential and polynomial decay are only special cases.

Mathematics Subject Classification: 35L05, 35B35, 74D05

Key words and phrases: Wave equation, integral condition, general decay, distributed delay