Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2010
• Main Authors: Nakpim, W., Meleshko, S.V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146348
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations / W. Nakpim, S.V. Meleshko // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 9 назв. — англ.

The linearization problem of a second-order ordinary differential equation by the generalized Sundman transformation was considered earlier by Duarte, Moreira and Santos using the Laguerre form. The results obtained in the present paper demonstrate that their solution of the linearization problem fo...