Abel Dynamic Equations of First and Second Kind
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.
M. Bohner and S. H. Streipert, "Abel Dynamic Equations of First and Second Kind," Georgian Mathematical Journal, vol. 22, no. 3, pp. 341-348, De Gruyter, Sep 2015.
The definitive version is available at https://doi.org/10.1515/gmj-2015-0026
Mathematics and Statistics
Keywords and Phrases
Abel equation; Dynamic equation; Time scale
International Standard Serial Number (ISSN)
Article - Journal
© 2015 De Gruyter, All rights reserved.
01 Sep 2015