Exponential stability of a system of coupled wave equations by second order terms with a past history
In this manuscript we consider a coupled, by second order terms, system of two wave
equations with a past history acting on the first equation as a stabilizer. We show that the solution of
this system decays exponentially by constructing an appropriate Lyapunov function.
In this paper, a weakly coupled system (by the displacement of symmetric type) consisting of a viscoelastic Kirchhoff plate equation involving free boundary conditions and the viscoelastic wave…
In this manuscript we consider a coupled, by second order terms, system of two wave
equations with a past history acting on the first equation as a stabilizer. We show that the solution of…
In this paper, a system of coupled quasi-linear and linear wave equations with a finite memory term is concerned. By constructing an appropriate Lyapunov function, we prove that the total energy…