Abstract and Applied Analysis
Volume 2011 (2011), Article ID 207930, 15 pages
http://dx.doi.org/10.1155/2011/207930
Research Article

On Integral Transforms and Matrix Functions

Hassan Eltayeb,1 Adem Kılıçman,2 and Ravi P. Agarwal3

1Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
2Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, Selangor 43400, Serdang, Malaysia
3Department of Mathematics, Texas A&M University-Kingsville, 700 University Boulevard, Kingsville, TX 78363-8202, USA

Received 10 August 2011; Accepted 4 October 2011

Academic Editor: Ibrahim Sadek

Copyright © 2011 Hassan Eltayeb et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.