Arbitrary decay result of a viscoelastic equation with infinite memory and nonlinear frictional damping

Mohammad M. Al-Gharabli

Arbitrary decay result of a viscoelastic equation with infinite memory and nonlinear frictional damping

Mohammad M. Al-Gharabli^*

^*Corresponding author for this work

Preparatory Year Program

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

Abstract

In this paper, we consider a viscoelastic equation with a weak frictional damping in the presence of infinite-memory term and prove an explicit and general decay result using the multiplier method and some properties of the convex functions. Our result is obtained without imposing any restrictive growth assumption on the damping term and strongly weakening the usual assumptions on the relaxation function.

Original language	English
Pages (from-to)	93-110
Number of pages	18
Journal	Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Volume	25
Issue number	2
State	Published - 2018

Bibliographical note

Publisher Copyright:
Copyright © 2018 Watam Press.

Keywords

Convexity
Frictional damping
General decay
Infinite memory
Viscoelastic

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

Cite this

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title = "Arbitrary decay result of a viscoelastic equation with infinite memory and nonlinear frictional damping",

abstract = "In this paper, we consider a viscoelastic equation with a weak frictional damping in the presence of infinite-memory term and prove an explicit and general decay result using the multiplier method and some properties of the convex functions. Our result is obtained without imposing any restrictive growth assumption on the damping term and strongly weakening the usual assumptions on the relaxation function.",

keywords = "Convexity, Frictional damping, General decay, Infinite memory, Viscoelastic",

author = "Al-Gharabli, \{Mohammad M.\}",

note = "Publisher Copyright: Copyright {\textcopyright} 2018 Watam Press.",

year = "2018",

language = "English",

volume = "25",

pages = "93--110",

journal = "Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis",

issn = "1201-3390",

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T1 - Arbitrary decay result of a viscoelastic equation with infinite memory and nonlinear frictional damping

AU - Al-Gharabli, Mohammad M.

PY - 2018

Y1 - 2018

N2 - In this paper, we consider a viscoelastic equation with a weak frictional damping in the presence of infinite-memory term and prove an explicit and general decay result using the multiplier method and some properties of the convex functions. Our result is obtained without imposing any restrictive growth assumption on the damping term and strongly weakening the usual assumptions on the relaxation function.

AB - In this paper, we consider a viscoelastic equation with a weak frictional damping in the presence of infinite-memory term and prove an explicit and general decay result using the multiplier method and some properties of the convex functions. Our result is obtained without imposing any restrictive growth assumption on the damping term and strongly weakening the usual assumptions on the relaxation function.

KW - Convexity

KW - Frictional damping

KW - General decay

KW - Infinite memory

KW - Viscoelastic

UR - https://www.scopus.com/pages/publications/85043494312

M3 - Article

AN - SCOPUS:85043494312

SN - 1201-3390

VL - 25

SP - 93

EP - 110

JO - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

JF - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

IS - 2

ER -

Arbitrary decay result of a viscoelastic equation with infinite memory and nonlinear frictional damping

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this