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A note on the polynomial decay of a weakly dissipative viscoelastic system
Authors:Jamilu Hashim Hassan  Salim A. Messaoudi
Affiliation:Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, P. O. Box 546, Dhahran, 31261 Saudi Arabia
Abstract:
In this note we study an abstract class of weakly dissipative second-order systems with finite memory. We establish the polynomial decay of Rivera, Naso and Vegni for the solution of the system under a very weak condition on the relaxation function.
Keywords:polynomial decay  relaxation function  viscoelastic  weakly dissipative
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