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Zbl 0916.44002
Watugala, G.K.
Sumudu transform -- a new integral transform to solve differential equations and control engineering problems. (English)
[J] Math. Eng. Ind. 6, No.4, 319-329 (1998). ISSN 0169-121X

The author introduces an integral transform which, although closely related to the Laplace transform, possesses properties which are claimed to make the transformation process easier to visualize. A number of results are obtained. For example, differentiation and integration of a function $f(t)$ in the $t$-domain are shown to correspond to division and multiplication of the transformed function $F(u)$ by $u$ in the $u$-domain. Also scaling of $f(t)$ in the $t$-domain is equivalent to scaling of $F(u)$ by the same scale factor. Applications to differential and integral equations and to a control engineering problem are considered.
[W.Lamb (Glasgow)]

MSC 2000:: *44A10 Laplace transform
34A25 Analytical theory of ODE
45A05 Linear integral equations

Keywords: Sumudu transform; control engineering; Laplace transform; differentiation; integration; scaling; differential and integral equations

Cited in: Zbl 1218.44001

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