Detail publikace

Lerch's theorem on nabla time scales

KISELA, T. DOLNÍK, M.

Anglický název

Lerch's theorem on nabla time scales

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

en

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 anglicky

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

Vydáno

25.10.2019

Nakladatel

Walter de Gruyter GmbH

Místo

GENTHINER STRASSE 13, D-10785 BERLIN, GERMANY

ISSN

0139-9918

Ročník

69

Číslo

5

Strany od–do

1127–1136

Počet stran

10

BIBTEX


@article{BUT159356,
  author="Tomáš {Kisela} and Matej {Dolník},
  title="Lerch's theorem on nabla time scales",
  year="2019",
  volume="69",
  number="5",
  month="October",
  pages="1127--1136",
  publisher="Walter de Gruyter GmbH ",
  address="GENTHINER STRASSE 13, D-10785 BERLIN, GERMANY",
  issn="0139-9918"
}