Decay rates for memory-type plate system with delay and source term

Muhammad I. Mustafa; Mohammad Kafini

doi:10.1002/mma.4015

Decay rates for memory-type plate system with delay and source term

Muhammad I. Mustafa^*, Mohammad Kafini

^*Corresponding author for this work

Department of Mathematics

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

9 Scopus citations

Abstract

In this paper, we consider a plate equation with infinite memory in the presence of delay and source term. Under suitable conditions on the delay and source term, we establish an explicit and general decay rate result without imposing restrictive assumptions on the behavior of the relaxation function at infinity. Our result allows a wider class of relaxation functions and improves earlier results in the literature.

Original language	English
Pages (from-to)	883-895
Number of pages	13
Journal	Mathematical Methods in the Applied Sciences
Volume	40
Issue number	4
DOIs	https://doi.org/10.1002/mma.4015
State	Published - 15 Mar 2017

Bibliographical note

Publisher Copyright:
Copyright © 2016 John Wiley & Sons, Ltd.

Keywords

delay
general decay
infinite memory
plate equation
source term

ASJC Scopus subject areas

General Mathematics
General Engineering

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10.1002/mma.4015

Cite this

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AU - Kafini, Mohammad

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AB - In this paper, we consider a plate equation with infinite memory in the presence of delay and source term. Under suitable conditions on the delay and source term, we establish an explicit and general decay rate result without imposing restrictive assumptions on the behavior of the relaxation function at infinity. Our result allows a wider class of relaxation functions and improves earlier results in the literature.

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KW - general decay

KW - infinite memory

KW - plate equation

KW - source term

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ER -

Decay rates for memory-type plate system with delay and source term

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this