Asymptotic behavior for a viscoelastic Kirchhoff equation with distributed delay and Balakrishnan–Taylor damping

Abstract

Abstract A nonlinear viscoelastic Kirchhoff-type equation with Balakrishnan–Taylor damping and distributed delay is studied. By the energy method we establish the general decay rate under suitable hypothesis.

Keywords

• Kirchhoff equation
• Exponential decay
• Distributed delay term
• Viscoelastic term
• Energy method