The H-Laplace and Q-Laplace Transforms

Author

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

Abstract

Starting with a general definition of the Laplace transform on arbitrary time scales, we specify the particular concepts of the h-Laplace and q-Laplace transforms. The convolution and inversion problems for these transforms are considered in some detail.

Recommended Citation

G. S. Guseinov and M. Bohner, "The H-Laplace and Q-Laplace Transforms," Journal of Mathematical Analysis and Applications, Elsevier, May 2010.

The definitive version is available at https://doi.org/10.1016/j.jmaa.2009.09.061

Department(s)

Mathematics and Statistics

Sponsor(s)

National Science Foundation (U.S.)

Keywords and Phrases

Convolution; Inverse Transform; Time Scales; Laplace Transformation

International Standard Serial Number (ISSN)

0022-247X

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2010 Elsevier, All rights reserved.

Publication Date

01 May 2010