Decay rates for memory‐type plate system with delay and source term |
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Authors: | Muhammad I Mustafa Mohammad Kafini |
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Institution: | 1. Department of Mathematics, University of Sharjah, Sharjah, United Arab Emirates;2. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia |
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Abstract: | In this paper, we consider a plate equation with infinite memory in the presence of delay and source term. Under suitable conditions on the delay and source term, we establish an explicit and general decay rate result without imposing restrictive assumptions on the behavior of the relaxation function at infinity. Our result allows a wider class of relaxation functions and improves earlier results in the literature. Copyright © 2016 John Wiley & Sons, Ltd. |
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Keywords: | plate equation general decay infinite memory delay source term |
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