Electronic Journal of Differential Equations,
Vol. 2003(2003), No. 85, pp. 1-17.

Title: Stability for a coupled system of wave equations of Kirchhoff
       type with nonlocal boundary conditions

Authors: Jorge Ferreira (Univ. Estadual de Maringa, Brazil)
         Ducival C. Pereira (Inst. de Estudos Superiores da Amazonia)
	 Mauro L. Santos (Univ. Federal do Para, Brazil)

Abstract: 
 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.
 
Submitted April 2, 2003. Published August 14, 2003.
Math Subject Classifications: 34A34, 34M30, 35B05.
Key Words: Coupled system; wave equation; Galerkin method; 
           asymptotic behavior; boundary value problem