Differential Equations and Nonlinear Mechanics

A Note on Wave Equation and Convolutions

Adem Kiliçman and Hassan Eltayeb

Full-text: Open access

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.

Article information

Source
Differ. Equ. Nonlinear Mech., Volume 2007 (2007), Article ID 049251, 13 pages.

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

Permanent link to this document
https://projecteuclid.org/euclid.ijde/1485399784

Digital Object Identifier
doi:10.1155/2007/49251

Zentralblatt MATH identifier
1138.35358

Citation

Kiliçman, Adem; Eltayeb, Hassan. A Note on Wave Equation and Convolutions. Differ. Equ. Nonlinear Mech. 2007 (2007), Article ID 049251, 13 pages. doi:10.1155/2007/49251. https://projecteuclid.org/euclid.ijde/1485399784


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References

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