Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations
Classical Analysis and ODEs
2010-06-16 v1 Exactly Solvable and Integrable Systems
Abstract
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 for a second-order ordinary differential equation via the generalized Sundman transformation is not complete. We also give examples which show that the Laguerre form is not sufficient for the linearization problem via the generalized Sundman transformation.
Keywords
Cite
@article{arxiv.1006.2891,
title = {Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations},
author = {Warisa Nakpim and Sergey V. Meleshko},
journal= {arXiv preprint arXiv:1006.2891},
year = {2010}
}