New general decay results in an infinite memory viscoelastic problem with nonlinear damping

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

doi:10.1186/s13661-019-1253-6

New general decay results in an infinite memory viscoelastic problem with nonlinear damping

Adel M. Al-Mahdi^*
, Mohammad M. Al-Gharabli

^*Corresponding author for this work

Preparatory Year Program

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

25 Scopus citations

Abstract

This work is concerned with a viscoelastic equation with a nonlinear frictional damping and a relaxation function satisfying g′(t)≤−ξ(t)gp(t),t≥0,1≤p<32. We establish general decay rate results using the multiplier method and some properties of non-homogeneous ordinary differential inequalities. These results extend and improve many results in the literature.

Original language	English
Article number	140
Journal	Boundary Value Problems
Volume	2019
Issue number	1
DOIs	https://doi.org/10.1186/s13661-019-1253-6
State	Published - 1 Dec 2019

Bibliographical note

Publisher Copyright:
© 2019, The Author(s).

Keywords

General decay
Infinite memory
Viscoelastic problems

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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10.1186/s13661-019-1253-6

Cite this

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abstract = "This work is concerned with a viscoelastic equation with a nonlinear frictional damping and a relaxation function satisfying g′(t)≤−ξ(t)gp(t),t≥0,1≤p<32. We establish general decay rate results using the multiplier method and some properties of non-homogeneous ordinary differential inequalities. These results extend and improve many results in the literature.",

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N2 - This work is concerned with a viscoelastic equation with a nonlinear frictional damping and a relaxation function satisfying g′(t)≤−ξ(t)gp(t),t≥0,1≤p<32. We establish general decay rate results using the multiplier method and some properties of non-homogeneous ordinary differential inequalities. These results extend and improve many results in the literature.

AB - This work is concerned with a viscoelastic equation with a nonlinear frictional damping and a relaxation function satisfying g′(t)≤−ξ(t)gp(t),t≥0,1≤p<32. We establish general decay rate results using the multiplier method and some properties of non-homogeneous ordinary differential inequalities. These results extend and improve many results in the literature.

KW - General decay

KW - Infinite memory

KW - Viscoelastic problems

UR - https://www.scopus.com/pages/publications/85071530186

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New general decay results in an infinite memory viscoelastic problem with nonlinear damping

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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