General stability for a system of coupled quasi-linear and linear wave equations and with memory term.
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 associated with the system is stable under suitable conditions on memory kernel.
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…