The Laplace Transform on Isolated Time Scales
Starting 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.
M. Bohner and G. S. Guseinov, "The Laplace Transform on Isolated Time Scales," Computers & Mathematics with Applications, Elsevier, Jan 2010.
The definitive version is available at https://doi.org/10.1016/j.camwa.2010.06.037
Mathematics and Statistics
Keywords and Phrases
isolated time scales; Laplace transform; Convolution; Shift; inverse transform
Article - Journal
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