Some remarks on the Sumudu and Laplace transforms and applications to differential equations
type: Item
instance of: scholarly article
title: Some remarks on the Sumudu and Laplace transforms and applications to differential equations
zbMATH Open document ID: 1264.44001
DOI: 10.5402/2012/591517
author: Hassan Eltayeb
author: Adem Kilicman
published in: ISRN Applied Mathematics
publication date: 2013-06-11T00:00:00Z
review text: Summary: We study the relationship between Sumudu and Laplace transforms and further make some comparison on the solutions. We provide some counterexamples where if the solution of differential equations exists by Laplace transform, the solution does not necessarily exist by using the Sumudu transform; however, the examples indicate that if the solution of differential equation by Sumudu transform exists then the solution necessarily exists by Laplace transform.
Mathematics Subject Classification ID: 44A10
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 34A25
Mathematics Subject Classification ID: 44A15
zbMATH DE Number: 6172969
Wikidata QID: Q58691343
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.5402/2012/591517
OpenAlex ID: W2025381148
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description: scientific article; zbMATH DE number 6172969