A Logarithm On Time Scales And Its Uses

Author

Douglas R. Anderson
Martin Bohner, Missouri University of Science and TechnologyFollow
Guo Cheng Wu

Abstract

A multivalued logarithm on time scales recently introduced for delta-differen-tiable functions that never vanish is covered in this chapter. This is accomplished using an extended definition of the cylinder transformation from which the definition of exponential functions on time scales arose. The definition of a logarithm function on arbitrary time scales with familiar and useful properties then follows.

Recommended Citation

D. R. Anderson et al., "A Logarithm On Time Scales And Its Uses," Dynamic Calculus and Equations on Time Scales, pp. 175 - 196, DeGruyter, Sep 2023.

The definitive version is available at https://doi.org/10.1515/9783111182971-004

Department(s)

Mathematics and Statistics

International Standard Book Number (ISBN)

978-311118297-1;978-311118519-4

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 DeGruyter, All rights reserved.

Publication Date

18 Sep 2023