Detail publikačního výsledku

Lerch's theorem on nabla time scales

KISELA, T.; DOLNÍK, M.

Originální název

Lerch's theorem on nabla time scales

Anglický název

Lerch's theorem on nabla time scales

Druh

Článek WoS

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.

Anglický 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

Klíčová slova v angličtině

Lerch's theorem; Laplace transform; time scales theory; uniqueness; fractional calculus

Autoři

KISELA, T.; DOLNÍK, M.

Rok RIV

2020

Vydáno

25.10.2019

Nakladatel

Walter de Gruyter GmbH

Místo

GENTHINER STRASSE 13, D-10785 BERLIN, GERMANY

ISSN

0139-9918

Periodikum

Mathematica Slovaca

Svazek

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"
}