On the wave equation with a temporal non-local term

Mohamed Medjden; Nasser Eddine Tatar

On the wave equation with a temporal non-local term

Mohamed Medjden^*, Nasser Eddine Tatar

^*Corresponding author for this work

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

29 Scopus citations

Abstract

This paper is concerned with the asymptotic behavior for an integro-differential equation which appears in viscoelasticity. It is proved that the energy of the system decays exponentially to zero as time goes to infinity provided that the kernel in the memory term is also exponentially decaying. New assumptions are discussed.

Original language	English
Pages (from-to)	665-672
Number of pages	8
Journal	Dynamic Systems and Applications
Volume	16
Issue number	4
State	Published - 2007

Keywords

Exponential decay
Memory term
Relaxation function
Viscoelasticity

ASJC Scopus subject areas

General Mathematics

Cite this

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title = "On the wave equation with a temporal non-local term",

abstract = "This paper is concerned with the asymptotic behavior for an integro-differential equation which appears in viscoelasticity. It is proved that the energy of the system decays exponentially to zero as time goes to infinity provided that the kernel in the memory term is also exponentially decaying. New assumptions are discussed.",

keywords = "Exponential decay, Memory term, Relaxation function, Viscoelasticity",

author = "Mohamed Medjden and Tatar, \{Nasser Eddine\}",

year = "2007",

language = "English",

volume = "16",

pages = "665--672",

journal = "Dynamic Systems and Applications",

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T1 - On the wave equation with a temporal non-local term

AU - Medjden, Mohamed

AU - Tatar, Nasser Eddine

PY - 2007

Y1 - 2007

N2 - This paper is concerned with the asymptotic behavior for an integro-differential equation which appears in viscoelasticity. It is proved that the energy of the system decays exponentially to zero as time goes to infinity provided that the kernel in the memory term is also exponentially decaying. New assumptions are discussed.

AB - This paper is concerned with the asymptotic behavior for an integro-differential equation which appears in viscoelasticity. It is proved that the energy of the system decays exponentially to zero as time goes to infinity provided that the kernel in the memory term is also exponentially decaying. New assumptions are discussed.

KW - Exponential decay

KW - Memory term

KW - Relaxation function

KW - Viscoelasticity

UR - https://www.scopus.com/pages/publications/37249081598

M3 - Article

AN - SCOPUS:37249081598

SN - 1056-2176

VL - 16

SP - 665

EP - 672

JO - Dynamic Systems and Applications

JF - Dynamic Systems and Applications

IS - 4

ER -

On the wave equation with a temporal non-local term

Abstract

Keywords

ASJC Scopus subject areas

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Cite this