DECAY RESULTS FOR NONLINEAR VISCOELASTIC PROBLEM WITH VELOCITY DEPENDENT MATERIAL IN THE PRESENT OF INFINITE MEMORY

Mohammad M. Al-Gharabli; Adel M. Al-Mahdi

DECAY RESULTS FOR NONLINEAR VISCOELASTIC PROBLEM WITH VELOCITY DEPENDENT MATERIAL IN THE PRESENT OF INFINITE MEMORY

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1 Scopus citations

Abstract

In this paper we extend some general decay results, known for the case of finite history for a quasilinaer viscoelastic problem, to the case of infinite history where the relaxation function satisfies (Formula presented) Moreover, we delete some assumptions on the boundedness of initial data used in many earlier papers in the literature.

Original language	English
Pages (from-to)	381-392
Number of pages	12
Journal	Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
Volume	27
Issue number	6
State	Published - 2020

Bibliographical note

Publisher Copyright:
© 2020 Watam Press.

Keywords

Convexity
Optimal decay
Quasilinear
Relaxation functions
Viscoelastic

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics
Applied Mathematics

Cite this

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title = "DECAY RESULTS FOR NONLINEAR VISCOELASTIC PROBLEM WITH VELOCITY DEPENDENT MATERIAL IN THE PRESENT OF INFINITE MEMORY",

abstract = "In this paper we extend some general decay results, known for the case of finite history for a quasilinaer viscoelastic problem, to the case of infinite history where the relaxation function satisfies (Formula presented) Moreover, we delete some assumptions on the boundedness of initial data used in many earlier papers in the literature.",

keywords = "Convexity, Optimal decay, Quasilinear, Relaxation functions, Viscoelastic",

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

note = "Publisher Copyright: {\textcopyright} 2020 Watam Press.",

year = "2020",

language = "English",

volume = "27",

pages = "381--392",

journal = "Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms",

issn = "1492-8760",

publisher = "Watam Press",

number = "6",

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AU - Al-Gharabli, Mohammad M.

AU - Al-Mahdi, Adel M.

PY - 2020

Y1 - 2020

N2 - In this paper we extend some general decay results, known for the case of finite history for a quasilinaer viscoelastic problem, to the case of infinite history where the relaxation function satisfies (Formula presented) Moreover, we delete some assumptions on the boundedness of initial data used in many earlier papers in the literature.

AB - In this paper we extend some general decay results, known for the case of finite history for a quasilinaer viscoelastic problem, to the case of infinite history where the relaxation function satisfies (Formula presented) Moreover, we delete some assumptions on the boundedness of initial data used in many earlier papers in the literature.

KW - Convexity

KW - Optimal decay

KW - Quasilinear

KW - Relaxation functions

KW - Viscoelastic

UR - https://www.scopus.com/pages/publications/85134387613

M3 - Article

AN - SCOPUS:85134387613

SN - 1492-8760

VL - 27

SP - 381

EP - 392

JO - Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms

JF - Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms

IS - 6

ER -

DECAY RESULTS FOR NONLINEAR VISCOELASTIC PROBLEM WITH VELOCITY DEPENDENT MATERIAL IN THE PRESENT OF INFINITE MEMORY

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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