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KISELA, T. DOLNÍK, M.
Originální název
Lerch's theorem on nabla time scales
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
The paper discusses uniqueness of Laplace transform considered on nabla time scales. As the main result, a nabla time scales analogue of Lerch's theorem ensuring uniqueness of Laplace image is proved for so-called simply periodic time scales. Moreover, several presented counterexamples demonstrate that the uniqueness of Laplace image does not occur on general time scales when the nabla approach is employed. Other special properties of Laplace transform on nabla time scales, such as potential disconnectedness of domain of convergence, are addressed as well.
Klíčová slova
Lerch's theorem; Laplace transform; time scales theory; uniqueness; fractional calculus
Autoři
KISELA, T.; DOLNÍK, M.
Vydáno
25. 10. 2019
Nakladatel
Walter de Gruyter GmbH
Místo
GENTHINER STRASSE 13, D-10785 BERLIN, GERMANY
ISSN
0139-9918
Periodikum
Mathematica Slovaca
Ročník
69
Číslo
5
Stát
Slovenská republika
Strany od
1127
Strany do
1136
Strany počet
10
URL
https://www.degruyter.com/view/j/ms.2019.69.issue-5/ms-2017-0295/ms-2017-0295.xml
BibTex
@article{BUT159356, author="Tomáš {Kisela} and Matej {Dolník}", title="Lerch's theorem on nabla time scales", journal="Mathematica Slovaca", year="2019", volume="69", number="5", pages="1127--1136", doi="10.1515/ms-2017-0295", issn="0139-9918", url="https://www.degruyter.com/view/j/ms.2019.69.issue-5/ms-2017-0295/ms-2017-0295.xml" }