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Zbl 1102.44001
Belgacem, Fethi Bin Muhammed
Introducing and analysing deeper Sumudu properties.
(English)
[J] Nonlinear Stud. 13, No. 1, 23-41 (2006). ISSN 1359-8678; ISSN 2153-4373/e

The Sumudu transform is defined as $G(u)=\int_0^\infty f(ut) e^{-t}\,dt$. By means of $G(u)=F(1/u)/u$ it is connected with the Laplace transform $F(s)= \int^\infty_0e^{-st}f(t)\,dt$, so that all properties of the latter can be transferred to the former.
[Lothar Berg (Rostock)]
MSC 2000:
*44A10 Laplace transform
44A15 Special transforms
44A35 Convolution

Keywords: Sumudu transform; Laplace transform

Cited in: Zbl 1154.44001 Zbl 1115.44001

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