Asymptotic behaviour of nonlinear viscoelastic wave equations with boundary feedback

Abstract

In this study, we investigate a nonlinear viscoelastic wave equation subject to acoustic boundary conditions and a nonlinear distributed delay feedback acting on the boundary. The asymptotic behaviour of solutions is analysed by considering a general kernel formulation and imposing suitable assumptions.

Keywords

• Mathematical model
• viscoelastic term
• wave equation
• asymptotic behaviour
• acoustic boundary
• nonlinear distributed delay