Electronic Journal of Differential Equations,
Vol. 2001(2001), No. 73, pp. 1-11.

Title: Asymptotic behavior of solutions to wave equations with
       a memory condition at the boundary
   
Author: Mauro de Lima Santos (Univ.  Federal do Para, Brazil)
                 
Abstract:  
 In this paper, we study the stability of solutions
 for wave equations whose boundary condition includes a integral
 that represents the memory effect.
 We show  that the dissipation is strong enough to produce
 exponential decay of the solution, provided the relaxation
 function also decays exponentially. When the relaxation function
 decays polynomially, we show that the solution decays polynomially
 and with the same rate.

Submitted  September 20, 2001. Published November 26, 2001.
Math Subject Classifications:39A11.
Key Words: Wave equations; asymptotic behavior.