A general decay result of a coupled system of nonlinear wave equations

Mohammad M. Al-Gharabli; Mohammad M. Kafini

doi:10.1007/s12215-017-0301-2

A general decay result of a coupled system of nonlinear wave equations

Mohammad M. Al-Gharabli
, Mohammad M. Kafini^*

^*Corresponding author for this work

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

6 Scopus citations

Abstract

This work is concerned with a nonlinear system of two coupled viscoelastic equations. Under some restrictions on the coupled functions, we establish, for a wider class of relaxation functions, a generalized stability result for this system. This result improves many results in the literature, such as the ones in Messaoudi and Tatar (Appl Anal 87(3): 247–263, 2008) and Liu (Non-linear Anal 71, 2257–2267, 2009).

Original language	English
Pages (from-to)	145-157
Number of pages	13
Journal	Rendiconti del Circolo Matematico di Palermo
Volume	67
Issue number	1
DOIs	https://doi.org/10.1007/s12215-017-0301-2
State	Published - 1 Apr 2018

Bibliographical note

Publisher Copyright:
© 2017, Springer-Verlag Italia.

Keywords

General decay
Nonlinear
Relaxation function
Viscoelasticity
Wave equation

ASJC Scopus subject areas

General Mathematics

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10.1007/s12215-017-0301-2

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abstract = "This work is concerned with a nonlinear system of two coupled viscoelastic equations. Under some restrictions on the coupled functions, we establish, for a wider class of relaxation functions, a generalized stability result for this system. This result improves many results in the literature, such as the ones in Messaoudi and Tatar (Appl Anal 87(3): 247–263, 2008) and Liu (Non-linear Anal 71, 2257–2267, 2009).",

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AU - Kafini, Mohammad M.

PY - 2018/4/1

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N2 - This work is concerned with a nonlinear system of two coupled viscoelastic equations. Under some restrictions on the coupled functions, we establish, for a wider class of relaxation functions, a generalized stability result for this system. This result improves many results in the literature, such as the ones in Messaoudi and Tatar (Appl Anal 87(3): 247–263, 2008) and Liu (Non-linear Anal 71, 2257–2267, 2009).

AB - This work is concerned with a nonlinear system of two coupled viscoelastic equations. Under some restrictions on the coupled functions, we establish, for a wider class of relaxation functions, a generalized stability result for this system. This result improves many results in the literature, such as the ones in Messaoudi and Tatar (Appl Anal 87(3): 247–263, 2008) and Liu (Non-linear Anal 71, 2257–2267, 2009).

KW - General decay

KW - Nonlinear

KW - Relaxation function

KW - Viscoelasticity

KW - Wave equation

UR - https://www.scopus.com/pages/publications/85044206299

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JO - Rendiconti del Circolo Matematico di Palermo

JF - Rendiconti del Circolo Matematico di Palermo

IS - 1

ER -

A general decay result of a coupled system of nonlinear wave equations

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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