Stability for a coupled system of wave equations of Kirchhoff type with nonlocal boundary conditions
Pereira, Ducival C.
Santos, Mauro de Lima
Southwest Texas State University, Department of Mathematics
We consider a coupled system of two nonlinear wave equations of Kirchhoff type with nonlocal boundary condition and we study the asymptotic behavior of the corresponding solutions. We prove that the energy decay at the same rate of decay of the relaxation functions, that is, the energy decays exponentially when the relaxation functions decay exponentially and polynomially when the relaxation functions decay polynomially.
Coupled system, Wave equation, Galerkin method, Asymptotic behavior, Boundary value problem
Ferreira, J., Pereira, D. C., & Santos, M. L. (2003). Stability for a coupled system of wave equations of Kirchhoff type with nonlocal boundary conditions. <i>Electronic Journal of Differential Equations, 2003</i>(85), pp. 1-17.
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