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Mathematics > Classical Analysis and ODEs

arXiv:1006.2891 (math)
[Submitted on 15 Jun 2010]

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

Authors:Warisa Nakpim, Sergey V. Meleshko
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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.
Subjects: Classical Analysis and ODEs (math.CA); Exactly Solvable and Integrable Systems (nlin.SI)
Cite as: arXiv:1006.2891 [math.CA]
  (or arXiv:1006.2891v1 [math.CA] for this version)
  https://doi.org/10.48550/arXiv.1006.2891
Journal reference: SIGMA 6 (2010), 051, 11 pages
Related DOI: https://doi.org/10.3842/SIGMA.2010.051

Submission history

From: Sigma [view email]
[v1] Tue, 15 Jun 2010 05:21:05 UTC (12 KB)
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