Lerch's theorem on nabla time scales

Year, pages: 2019, 1127 - 1136

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.

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

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

Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava