Properties of the Laplace Transform on Time Scales with Arbitrary Graininess

Author

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

Abstract

We generalize several standard properties of the usual Laplace transform to the Laplace transform on arbitrary time scales. Some of these properties were justified earlier under certain restrictions on the graininess of the time scale. in this work, we have no restrictions on the graininess. © 2011 Taylor & Francis.

Recommended Citation

M. Bohner et al., "Properties of the Laplace Transform on Time Scales with Arbitrary Graininess," Integral Transforms and Special Functions, vol. 22, no. 11, pp. 785 - 800, Taylor and Francis Group; Taylor and Francis, Nov 2011.

The definitive version is available at https://doi.org/10.1080/10652469.2010.548335

Department(s)

Mathematics and Statistics

Keywords and Phrases

Dynamic equation; Exponential function; Laplace transform; Time scales

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 Nov 2011