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Zbl 1191.35017
Eltayeb, Hassan; K il içman, Adem; Fisher, Brian
A new integral transform and associated distributions. (English)
[J] Integral Transforms Spec. Funct. 21, No. 5-6, 367-379 (2010). ISSN 1065-2469; ISSN 1476-8291/e

Summary: We generalize the concepts of a new integral transform, namely the Sumudu transform, to distributions and study some of their properties. Further, we also apply this transform to solve one-dimensional wave equation having a singularity at the initial conditions.
MSC 2000:
*35A22 Transform methods (PDE)
44A35 Convolution

Keywords: one-dimensional wave equation; singularity at the initial conditions; Sumudu transform; PDE(s) with variable coefficients; double convolution; distributions

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