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A general stability result for a nonlinear wave equation with infinite memory
Authors:Salim A. Messaoudi  Muhammad M. Al-Gharabli
Affiliation:King Fahd University of Petroleum and Minerals, Department of Mathematics and Statistics, Dhahran 31261, Saudi Arabia
Abstract:In this work we consider a nonlinear wave problem in the presence of an infinite-memory term and prove an explicit and general stability result. Our approach allows a wider class of kernels, among which those of exponential decay type, usually considered in the literature, are only special cases.
Keywords:General decay  Infinite memory  Nonlinear  Wave equation
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