A Note on Wave Equation and Convolutions | Zendy

Adem Kılıçman | Zendy; Hassan Eltayeb | Zendy

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A Note on Wave Equation and Convolutions

Author(s) -

Adem Kılıçman,

Hassan Eltayeb

Publication year - 2007

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2007/49251

Subject(s) - mathematics , uniqueness , convolution (computer science) , term (time) , order (exchange) , wave equation , mathematical analysis , uniqueness theorem for poisson's equation , convolution theorem , pure mathematics , fourier transform , computer science , physics , fourier analysis , artificial intelligence , finance , quantum mechanics , artificial neural network , fractional fourier transform , economics

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

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