Title

Abel Dynamic Equations of First and Second Kind

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

International Standard Serial Number (ISSN)

1072-947X; 1572-9176

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2015 De Gruyter, All rights reserved.

Publication Date

01 Sep 2015

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