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A Note on Wave Equation and Convolutions

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  • Adem Kiliçman
  • Hassan Eltayeb

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.

Suggested Citation

  • Adem Kiliçman & Hassan Eltayeb, 2007. "A Note on Wave Equation and Convolutions," International Journal of Differential Equations, Hindawi, vol. 2007, pages 1-13, March.
    • Handle: RePEc:hin:jnijde:049251
    DOI: 10.1155/2007/49251
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