A New Class of Kernels Leading to an Arbitrary Decay in Viscoelasticity

Nasser eddine Tatar

doi:10.1007/s00009-012-0177-5

A New Class of Kernels Leading to an Arbitrary Decay in Viscoelasticity

Nasser eddine Tatar^*

^*Corresponding author for this work

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

28 Scopus citations

Abstract

A new assumption on the relaxation in a viscoelastic problem ensuring uniform stability in an arbitrary rate is established. This assumption replaces a usual condition and allows for a much wider class of kernels. As consequences several earlier results are extended and improved.

Original language	English
Pages (from-to)	213-226
Number of pages	14
Journal	Mediterranean Journal of Mathematics
Volume	10
Issue number	1
DOIs	https://doi.org/10.1007/s00009-012-0177-5
State	Published - Feb 2013

Bibliographical note

Funding Information:
Acknowledgment. The author is grateful for the financial support and the facilities provided by King Fahd University of Petroleum and Minerals.

Keywords

Exponential decay
memory term
relaxation function
viscoelasticity

ASJC Scopus subject areas

General Mathematics

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10.1007/s00009-012-0177-5

Cite this

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title = "A New Class of Kernels Leading to an Arbitrary Decay in Viscoelasticity",

abstract = "A new assumption on the relaxation in a viscoelastic problem ensuring uniform stability in an arbitrary rate is established. This assumption replaces a usual condition and allows for a much wider class of kernels. As consequences several earlier results are extended and improved.",

keywords = "Exponential decay, memory term, relaxation function, viscoelasticity",

author = "Tatar, \{Nasser eddine\}",

note = "Funding Information: Acknowledgment. The author is grateful for the financial support and the facilities provided by King Fahd University of Petroleum and Minerals.",

year = "2013",

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doi = "10.1007/s00009-012-0177-5",

language = "English",

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AU - Tatar, Nasser eddine

N1 - Funding Information: Acknowledgment. The author is grateful for the financial support and the facilities provided by King Fahd University of Petroleum and Minerals.

PY - 2013/2

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N2 - A new assumption on the relaxation in a viscoelastic problem ensuring uniform stability in an arbitrary rate is established. This assumption replaces a usual condition and allows for a much wider class of kernels. As consequences several earlier results are extended and improved.

AB - A new assumption on the relaxation in a viscoelastic problem ensuring uniform stability in an arbitrary rate is established. This assumption replaces a usual condition and allows for a much wider class of kernels. As consequences several earlier results are extended and improved.

KW - Exponential decay

KW - memory term

KW - relaxation function

KW - viscoelasticity

UR - https://www.scopus.com/pages/publications/84873987166

U2 - 10.1007/s00009-012-0177-5

DO - 10.1007/s00009-012-0177-5

M3 - Article

AN - SCOPUS:84873987166

SN - 1660-5446

VL - 10

SP - 213

EP - 226

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

IS - 1

ER -

A New Class of Kernels Leading to an Arbitrary Decay in Viscoelasticity

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this