Differential Equations and Nonlinear Mechanics
Volume 2007 (2007), Article ID 49251, 13 pages
doi:10.1155/2007/49251
A note on wave equation and convolutions
Adem Kılıçman
and Hassan Eltayeb
Department of Mathematics, Faculty of Science and Technology, University of Malaysia Terengganu (UMT), Terengganu 21030, Kuala Terengganu, Malaysia
Abstract
We study the first-order nonhomogenous wave equation. We extend the convolution theorem into a general case with a double convolution as the nonhomogenous term. The uniqueness and continuity of the solution are proved and we provide some examples in order to validate our results.