A Note on Wave Equation and Convolutions

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.

Bibliographic Details
Main Authors: Adem Kiliçman, Hassan Eltayeb
Format: Article
Language:English
Published: Hindawi Limited 2007-01-01
Series:Differential Equations and Nonlinear Mechanics
Online Access:http://dx.doi.org/10.1155/2007/49251