A note on the polynomial decay of a weakly dissipative viscoelastic system |
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Authors: | Jamilu Hashim Hassan Salim A. Messaoudi |
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Affiliation: | Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, P. O. Box 546, Dhahran, 31261 Saudi Arabia |
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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. |
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Keywords: | polynomial decay relaxation function viscoelastic weakly dissipative |
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