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N. H. Ibragimov and S. V. Meleshko, “Linearization of Third-Order Ordinary Differential Equations by Point Transformations,” Journal of Mathematical Analysis and Applications, Vol. 308, No. 1, 2005, pp. 266-289. doi:10.1016/j.jmaa.2005.01.025

has been cited by the following article:

• TITLE: Equivalence Problem of the Painlevé Equations

  AUTHORS: Sopita Khamrod

  KEYWORDS: Equivalence Problem; Painlevé Equations; Point Transformation

  JOURNAL NAME: Advances in Pure Mathematics, Vol.3 No.2, March 19, 2013

  ABSTRACT: The manuscript is devoted to the equivalence problem of the Painlevé equations. Conditions which are necessary and sufficient for second-order ordinary differential equations y″=F (x ,y, y′) to be equivalent to the first and second Painlevé equation under a general point transformation are obtained. A procedure to check these conditions is found.