Further Properties of the Laplace Transform on Time Scales with Arbitrary Graininess

Author

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

Abstract

In this work, we generalize several properties of the usual Laplace transform to the Laplace transform on arbitrary time scales. Among them are translation theorems, transforms of periodic functions, integration of transforms, transforms of derivatives and integrals, and asymptotic values. © 2013 Copyright Taylor and Francis Group, LLC.

Recommended Citation

M. Bohner et al., "Further Properties of the Laplace Transform on Time Scales with Arbitrary Graininess," Integral Transforms and Special Functions, vol. 24, no. 4, pp. 289 - 301, Taylor and Francis Group; Taylor and Francis, Apr 2013.

The definitive version is available at https://doi.org/10.1080/10652469.2012.689300

Department(s)

Mathematics and Statistics

Keywords and Phrases

Laplace transform; time scale exponential function; time scales; translation theorems

International Standard Serial Number (ISSN)

1476-8291; 1065-2469

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 Taylor and Francis Group; Taylor and Francis, All rights reserved.

Publication Date

01 Apr 2013