Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
470778 | Computers & Mathematics with Applications | 2010 | 12 Pages |
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Martin Bohner, Gusein Sh. Guseinov,