Symmetry, equivalence and integrable classes of Abel equations

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...

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Bibliographic Details
Date:2006
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
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine