Global existence and asymptotic behavior for a viscoelastic Kirchhoff equation with a logarithmic nonlinearity, distributed delay and Balakrishnan-Taylor damping terms

A nonlinear viscoelastic Kirchhoff-type equation with a logarithmic nonlinearity, Balakrishnan-Taylor damping, dispersion and distributed delay terms is studied. We establish the global existence of the solutions of the problem and by the energy method we prove an explicit and general decay rate result under suitable hypothesis.

• logarithmic nonlinearity
• distributed delay
• global existence
• asymptotic behavior
• energy decay rate
• dispersion
• nonlinear wave equations

• Stability and Controllability of Differential Equations
• Nonlinear Differential Equations Analysis
• Advanced Mathematical Physics Problems
• logarithmic nonlinearity
• distributed delay
• global existence
• asymptotic behavior
• energy decay rate
• dispersion
• nonlinear wave equations
• Control and Systems Engineering
• Applied Mathematics
• Mathematical Physics
• Engineering
• Mathematics