General decay rate of a weakly dissipative viscoelastic equation with a general damping

Abstract

In this paper, we consider a weakly dissipative viscoelastic equation with a nonlinear damping. A general decay rate is proved for a wide class of relaxation functions. To support our theoretical findings, some numerical results are provided.

Keywords

• general decay
• relaxation function
• viscoelastic
• weakly dissipative equation