Electronic Journal of Differential Equations,
Vol. 2002(2002), No. 38, pp. 1-17.

Title: Decay rates for solutions of a system of wave equations with memory
   
Author: Mauro de Lima Santos (Federal Univ. of Para, Brazil)

Abstract: 
 The purpose of this article is to study the asymptotic 
 behavior of the solutions to a coupled system of wave 
 equations having integral convolutions as memory terms.
 We  prove that when the kernels of the convolutions 
 decay exponentially, the first and second order
 energy of the solutions  decay exponentially.
 Also we show that when the kernels decay polynomially, 
 these energies decay polynomially.
 
Submitted March 18, 2002. Published May 6, 2002.
Math Subject Classifications: 35B40.
Key Words: 
Asymptotic behavior; wave equation.