A general decay result of a viscoelastic equation with past history and boundary feedback

Salim A. Messaoudi; Mohammad M. Al-Gharabli

doi:10.1007/s00033-014-0476-8

A general decay result of a viscoelastic equation with past history and boundary feedback

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

^*Corresponding author for this work

Preparatory Year Program

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

11 Scopus citations

Abstract

In this paper, we consider a viscoelastic equation with a nonlinear feedback localized on a part of the boundary and in the presence of infinite memory term. In the domain as well as on a part of the boundary, we use the multiplier method and some properties of the convex functions to prove an explicit and general decay result.

Original language	English
Pages (from-to)	1519-1528
Number of pages	10
Journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	66
Issue number	4
DOIs	https://doi.org/10.1007/s00033-014-0476-8
State	Published - 10 Aug 2015

Bibliographical note

Publisher Copyright:
© 2014, Springer Basel.

Keywords

Convexity
General decay
Infinite memory
Viscoelastic

ASJC Scopus subject areas

General Mathematics
General Physics and Astronomy
Applied Mathematics

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10.1007/s00033-014-0476-8

Cite this

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abstract = "In this paper, we consider a viscoelastic equation with a nonlinear feedback localized on a part of the boundary and in the presence of infinite memory term. In the domain as well as on a part of the boundary, we use the multiplier method and some properties of the convex functions to prove an explicit and general decay result.",

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AB - In this paper, we consider a viscoelastic equation with a nonlinear feedback localized on a part of the boundary and in the presence of infinite memory term. In the domain as well as on a part of the boundary, we use the multiplier method and some properties of the convex functions to prove an explicit and general decay result.

KW - Convexity

KW - General decay

KW - Infinite memory

KW - Viscoelastic

UR - https://www.scopus.com/pages/publications/84938980310

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A general decay result of a viscoelastic equation with past history and boundary feedback

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this