The Laplace Transform on Isolated Time Scales

Author

Martin Bohner, Missouri University of Science and TechnologyFollow
Gusein Sh. Guseinov

Editor(s)

Demkowicz, Leszek

Abstract

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.

Recommended Citation

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

Department(s)

Mathematics and Statistics

Keywords and Phrases

isolated time scales; Laplace transform; Convolution; Shift; inverse transform

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2010 Elsevier, All rights reserved.

Publication Date

01 Jan 2010