Article
Abel Dynamic Equations of First and Second Kind
Georgian Mathematical Journal
Abstract
This paper gives the definition and analysis of Abel dynamic equations on a general time scale. As such, the results contain as special cases results for classical Abel differential equations and results for new Abel difference equations. By using appropriate transformations, expressions of Abel dynamic equations of second kind are derived on the general time scale. This also leads to a specific class of Abel dynamic equations of first kind. Finally, the canonical Abel dynamic equation is defined and examined.
Department(s)
Mathematics and Statistics
Keywords and Phrases
- Abel equation,
- Dynamic equation,
- Time scale
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2015 De Gruyter, All rights reserved.
Publication Date
9-1-2015
Publication Date
01 Sep 2015
Disciplines
Citation Information
Martin Bohner and Sabrina H. Streipert. "Abel Dynamic Equations of First and Second Kind" Georgian Mathematical Journal Vol. 22 Iss. 3 (2015) p. 341 - 348 ISSN: 1072-947X; 1572-9176 Available at: http://works.bepress.com/martin-bohner/131/