Decay rates for solutions of a system of wave equations with memory

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 expone...

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Bibliographic Details
Main Author: Mauro de Lima Santos
Format: Article
Language:English
Published: Texas State University 2002-05-01
Series:Electronic Journal of Differential Equations
Online Access:http://ejde.math.txstate.edu/Volumes/2002/38/abstr.html