Further Properties of the Laplace Transform on Time Scales With Arbitrary Graininess

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2013

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Taylor & Francis Ltd

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Mathematics
(2000)
The Atılım University Department of Mathematics was founded in 2000 and it offers education in English. The Department offers students the opportunity to obtain a certificate in Mathematical Finance or Cryptography, aside from their undergraduate diploma. Our students may obtain a diploma secondary to their diploma in Mathematics with the Double-Major Program; as well as a certificate in their minor alongside their diploma in Mathematics through the Minor Program. Our graduates may pursue a career in academics at universities, as well as be hired in sectors such as finance, education, banking, and informatics. Our Department has been accredited by the evaluation and accreditation organization FEDEK for a duration of 5 years (until September 30th, 2025), the maximum FEDEK accreditation period achievable. Our Department is globally and nationally among the leading Mathematics departments with a program that suits international standards and a qualified academic staff; even more so for the last five years with our rankings in the field rankings of URAP, THE, USNEWS and WEBOFMETRIC.

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In this work, we generalize several properties of the usual Laplace transform to the Laplace transform on arbitrary time scales. Among them are translation theorems, transforms of periodic functions, integration of transforms, transforms of derivatives and integrals, and asymptotic values.

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Bohner, Martin/0000-0001-8310-0266; Karpuz, Basak/0000-0002-0242-972X
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Bohner, Martin ORCID logo
Karpuz, Basak ORCID logo

Keywords

time scales, Laplace transform, time scale exponential function, translation theorems

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24

Issue

4

Start Page

289

End Page

301

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https://doi.org/10.1080/10652469.2012.689300
 https://hdl.handle.net/20.500.14411/450

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