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

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  • Messaoudi, Salim A.
  • Al-Gharabli, Mohammad M.

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.

Suggested Citation

  • Messaoudi, Salim A. & Al-Gharabli, Mohammad M., 2015. "A general decay result of a nonlinear system of wave equations with infinite memories," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 540-551.
  • Handle: RePEc:eee:apmaco:v:259:y:2015:i:c:p:540-551
    DOI: 10.1016/j.amc.2015.02.085
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    Cited by:

    1. Hicham Saber & Mohamed Ferhat & Amin Benaissa Cherif & Tayeb Blouhi & Ahmed Himadan & Tariq Alraqad & Abdelkader Moumen, 2023. "Asymptotic Behavior for a Coupled Petrovsky–Petrovsky System with Infinite Memories," Mathematics, MDPI, vol. 11(21), pages 1-16, October.

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