Sergey V. Meleshko

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

    Authors: Warisa Nakpim, Sergey V. Meleshko
    Subjects: Classical Analysis and ODEs
    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.

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