Abel dynamic equations of first and second kind

Autor:	Martin Bohner, Sabrina H. Streipert
Rok vydání:	2015
Předmět:	Mathematics::Algebraic Geometry Scale (ratio) Differential equation General Mathematics Abel's identity Applied mathematics Class (philosophy) Astrophysics::Cosmology and Extragalactic Astrophysics Abel equation Dynamic equation Abel's test Mathematics
Zdroj:	Georgian Mathematical Journal. 22:341-348
ISSN:	1572-9176 1072-947X
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8702c6d36a0b7612a0b53ada201c95b0 https://doi.org/10.1515/gmj-2015-0026 Zobrazit plný text záznamu