Symmetry, equivalence and integrable classes of Abel equations

• Date: 2006
• Author Affiliations: V. Boyko — Інститут математики
• Keywords: keywords
• Main Authors: Boyko, V., Бойко, В.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/380
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

We suggest an approach for description of integrable cases of the Abel equations. It is based on increasing of the order of equations up to the second one and using equivalence transformations for the corresponding second-order ordinary differential equations. The problem of linearizability of the e...