Sumudu transform – a new integral transform to solve differential equations and control engineering problems. (English) Zbl 0916.44002

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.
Reviewer: W.Lamb (Glasgow)


44A10 Laplace transform
34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
45A05 Linear integral equations