A general decay result of a nonlinear system of wave equations with infinite memories

Salim A. Messaoudi and Mohammad M. Al-Gharabli

Applied Mathematics and Computation, 2015, vol. 259, issue C, 540-551

Abstract: In this paper, we consider a system of two wave equations with nonlinear damping and source terms acting in both equations in the presence of infinite-memory terms and prove an explicit and general decay result. Our approach allows a wide class of kernels, among which those of exponential decay type are only special cases.

Keywords: General decay; Infinite memory; Nonlinear; Wave equation; Viscoelasticity (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:259:y:2015:i:c:p:540-551

DOI: 10.1016/j.amc.2015.02.085

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