On Integral Transforms and Matrix Functions

The Sumudu transform of certain elementary matrix functions is obtained. These transforms are then used to solve the differential equation of a general linear conservative vibration system, a vibrating system with a special type of viscous damping.

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Bibliographic Details
Main Authors: Hassan Eltayeb, Adem Kılıçman, Ravi P. Agarwal
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/207930
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author Hassan Eltayeb
Adem Kılıçman
Ravi P. Agarwal
author_facet Hassan Eltayeb
Adem Kılıçman
Ravi P. Agarwal
author_sort Hassan Eltayeb
collection DOAJ
description The Sumudu transform of certain elementary matrix functions is obtained. These transforms are then used to solve the differential equation of a general linear conservative vibration system, a vibrating system with a special type of viscous damping.
format Article
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institution Kabale University
issn 1085-3375
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language English
publishDate 2011-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-6a63d4a6a2ee4694bdbb311d21c258d72025-02-03T01:12:00ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/207930207930On Integral Transforms and Matrix FunctionsHassan Eltayeb0Adem Kılıçman1Ravi P. Agarwal2Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Mathematics and Institute for Mathematical Research, University Putra Malaysia, Selangor 43400, Serdang, MalaysiaDepartment of Mathematics, Texas A&M University-Kingsville, 700 University Boulevard, Kingsville, TX 78363-8202, USAThe Sumudu transform of certain elementary matrix functions is obtained. These transforms are then used to solve the differential equation of a general linear conservative vibration system, a vibrating system with a special type of viscous damping.http://dx.doi.org/10.1155/2011/207930
spellingShingle Hassan Eltayeb
Adem Kılıçman
Ravi P. Agarwal
On Integral Transforms and Matrix Functions
Abstract and Applied Analysis
title On Integral Transforms and Matrix Functions
title_full On Integral Transforms and Matrix Functions
title_fullStr On Integral Transforms and Matrix Functions
title_full_unstemmed On Integral Transforms and Matrix Functions
title_short On Integral Transforms and Matrix Functions
title_sort on integral transforms and matrix functions
url http://dx.doi.org/10.1155/2011/207930
work_keys_str_mv AT hassaneltayeb onintegraltransformsandmatrixfunctions
AT ademkılıcman onintegraltransformsandmatrixfunctions
AT ravipagarwal onintegraltransformsandmatrixfunctions