A general stability result for a nonlinear wave equation with infinite memory

Salim A. Messaoudi; Muhammad M. Al-Gharabli

doi:10.1016/j.aml.2013.06.002

A general stability result for a nonlinear wave equation with infinite memory

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

^*Corresponding author for this work

Preparatory Year Program

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

27 Scopus citations

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.

Original language	English
Pages (from-to)	1082-1086
Number of pages	5
Journal	Applied Mathematics Letters
Volume	26
Issue number	11
DOIs	https://doi.org/10.1016/j.aml.2013.06.002
State	Published - Nov 2013

Bibliographical note

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

Keywords

General decay
Infinite memory
Nonlinear
Wave equation

ASJC Scopus subject areas

Applied Mathematics

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10.1016/j.aml.2013.06.002

Cite this

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title = "A general stability result for a nonlinear wave equation with infinite memory",

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",

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

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

year = "2013",

month = nov,

doi = "10.1016/j.aml.2013.06.002",

language = "English",

volume = "26",

pages = "1082--1086",

journal = "Applied Mathematics Letters",

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T1 - A general stability result for a nonlinear wave equation with infinite memory

AU - Messaoudi, Salim A.

AU - Al-Gharabli, Muhammad M.

N1 - Funding Information: The authors thank KFUPM for its continuous support. This work was funded by KFUPM under Project # FT121007.

PY - 2013/11

Y1 - 2013/11

N2 - 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.

AB - 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.

KW - General decay

KW - Infinite memory

KW - Nonlinear

KW - Wave equation

UR - https://www.scopus.com/pages/publications/84880329436

U2 - 10.1016/j.aml.2013.06.002

DO - 10.1016/j.aml.2013.06.002

M3 - Article

AN - SCOPUS:84880329436

SN - 0893-9659

VL - 26

SP - 1082

EP - 1086

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 11

ER -

A general stability result for a nonlinear wave equation with infinite memory

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this