A Note on Wave Equation and Convolutions. (9th March 2008)

• Record Type: Journal Article
• Authors: Kılıçman Kılıçman, Adem Adem; Eltayeb Eltayeb, Hassan Hassan
• Other Names: Liao Liao Shijun Shijun Academic Editor.
• Is Part Of: Differential equations and nonlinear mechanics. Volume 2007/2007)
• Publication Date: 2008-03-09
• Subjects: Differential equations, Nonlinear -- Periodicals; Nonlinear mechanics -- Periodicals; Équations différentielles non linéaires; Mécanique non linéaire; Differential equations, Nonlinear; Nonlinear mechanics; Chaos Theory; Differential Equations; Periodicals; Electronic journals; 515.35
• DOI: 10.1155/2007/49251
• Languages: English
• ISSNs: 1687-4099

Abstract

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.