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Lerch's theorem on nabla time scales

In: Mathematica Slovaca, vol. 69, no. 5
Matej Dolník - Tomáš Kisela
Detaily:
Rok, strany: 2019, 1127 - 1136
Kľúčové slová:
Lerch’s theorem, Laplace transform, time scales theory, uniqueness, fractional calculus
O článku:
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.
Ako citovať:
ISO 690:
Dolník, M., Kisela, T. 2019. Lerch's theorem on nabla time scales. In Mathematica Slovaca, vol. 69, no.5, pp. 1127-1136. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0295

APA:
Dolník, M., Kisela, T. (2019). Lerch's theorem on nabla time scales. Mathematica Slovaca, 69(5), 1127-1136. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0295
O vydaní:
Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Publikované: 5. 10. 2019