Properties of the Laplace transform on time scales with arbitrary graininess
Martin Böhner, Gusein Sh. Guseinov, Başak Karpuz · Integral Transforms and Special Functions · 2011
We generalize several standard properties of the usual Laplace transform to the Laplace transform on arbitrary time scales. Some of these properties were justified earlier under certain restrictions on the graininess of the time scale. In this work, we have no restrictions on the graininess.