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