Hüseyin, Hüseyin ŞirinBohner, MartinGuseinov, Gusein Sh.Mathematics2024-07-052024-07-052010100898-12211873-766810.1016/j.camwa.2010.06.0372-s2.0-77956059597https://doi.org/10.1016/j.camwa.2010.06.037https://hdl.handle.net/20.500.14411/1594Bohner, Martin/0000-0001-8310-0266Starting with a general definition of the Laplace transform on arbitrary time scales, we specify the Laplace transform on isolated time scales, prove several properties of the Laplace transform in this case, and establish a formula for the inverse Laplace transform. The concept of convolution is considered in more detail by proving the convolution theorem and a discrete analogue of the classical theorem of Titchmarsh for the usual continuous convolution. (C) 2010 Elsevier Ltd. All rights reserved.eninfo:eu-repo/semantics/openAccessIsolated time scalesLaplace transformConvolutionShiftInverse transformArticleQ160615361547WOS:000281979800003