Lerch's theorem on nabla time scales

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F19%3APU133722" target="_blank" >RIV/00216305:26210/19:PU133722 - isvavai.cz</a>
Result on the web
<a href="https://www.degruyter.com/view/j/ms.2019.69.issue-5/ms-2017-0295/ms-2017-0295.xml" target="_blank" >https://www.degruyter.com/view/j/ms.2019.69.issue-5/ms-2017-0295/ms-2017-0295.xml</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/ms-2017-0295" target="_blank" >10.1515/ms-2017-0295</a>

Result language
angličtina
Original language name
Lerch's theorem on nabla time scales
Original language description
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.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA17-03224S" target="_blank" >GA17-03224S: Asymptotic theory of ordinary and fractional differential equations and their numerical discretizations</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)