Open Access
2007 A Note on Wave Equation and Convolutions
Adem Kiliçman, Hassan Eltayeb
Differ. Equ. Nonlinear Mech. 2007: 1-13 (2007). DOI: 10.1155/2007/49251

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.

Citation

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Adem Kiliçman. Hassan Eltayeb. "A Note on Wave Equation and Convolutions." Differ. Equ. Nonlinear Mech. 2007 1 - 13, 2007. https://doi.org/10.1155/2007/49251

Information

Received: 27 March 2007; Accepted: 8 November 2007; Published: 2007
First available in Project Euclid: 26 January 2017

zbMATH: 1138.35358
MathSciNet: MR2390211
Digital Object Identifier: 10.1155/2007/49251

Rights: Copyright © 2007 Hindawi

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