Differential Equations and Nonlinear Mechanics
Volume 2007 (2007), Article ID 49251, 13 pages
doi:10.1155/2007/49251
Research Article
A Note on Wave Equation and Convolutions
Department of Mathematics, Faculty of Science and Technology, University of Malaysia Terengganu (UMT), Terengganu 21030, Kuala Terengganu, Malaysia
Received 27 March 2007; Accepted 8 November 2007
Recommended by Shijun Liao
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.