Properties of the Laplace Transform on Time Scales with Arbitrary Graininess
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