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

Salim A. Messaoudi; Mohammad M. Al-Gharabli

doi:10.1016/j.amc.2015.02.085

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

Salim A. Messaoudi^*
, Mohammad M. Al-Gharabli

^*Corresponding author for this work

Preparatory Year Program

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

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.

Original language	English
Pages (from-to)	540-551
Number of pages	12
Journal	Applied Mathematics and Computation
Volume	259
DOIs	https://doi.org/10.1016/j.amc.2015.02.085
State	Published - 15 May 2015

Bibliographical note

Funding Information:
The authors thank KFUPM for its continuous support. This work was funded by KFUPM under Project # FT121007.

Publisher Copyright:
© 2015 Elsevier Inc. All rights reserved.

Keywords

General decay
Infinite memory
Nonlinear
Viscoelasticity
Wave equation

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2015.02.085

Cite this

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title = "A general decay result of a nonlinear system of wave equations with infinite memories",

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, Viscoelasticity, Wave equation",

author = "Messaoudi, \{Salim A.\} and Al-Gharabli, \{Mohammad M.\}",

note = "Funding Information: The authors thank KFUPM for its continuous support. This work was funded by KFUPM under Project \# FT121007. Publisher Copyright: {\textcopyright} 2015 Elsevier Inc. All rights reserved.",

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doi = "10.1016/j.amc.2015.02.085",

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T1 - A general decay result of a nonlinear system of wave equations with infinite memories

AU - Messaoudi, Salim A.

AU - Al-Gharabli, Mohammad M.

PY - 2015/5/15

Y1 - 2015/5/15

N2 - 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.

AB - 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.

KW - General decay

KW - Infinite memory

KW - Nonlinear

KW - Viscoelasticity

KW - Wave equation

UR - https://www.scopus.com/pages/publications/84925743964

U2 - 10.1016/j.amc.2015.02.085

DO - 10.1016/j.amc.2015.02.085

M3 - Article

AN - SCOPUS:84925743964

SN - 0096-3003

VL - 259

SP - 540

EP - 551

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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