Email this article Necessary Conditions for Point Equivalence of Second-Order Odes to the Sixth Painlevé Equation
- Authors: Bagderina Y.Y.1
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Affiliations:
- Institute of Mathematics, Ufa Federal Research Center
- Issue: Vol 242, No 5 (2019)
- Pages: 595-607
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/243007
- DOI: https://doi.org/10.1007/s10958-019-04499-0
- ID: 243007
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Abstract
We consider the equivalence problem for projective-type scalar second-order ordinary differential equations with respect to invertible point changes of variables. Invariants of the equivalence transformation group of this family of equations are used to find necessary conditions for equivalence to the sixth Painlevé equation.
About the authors
Yu. Yu. Bagderina
Institute of Mathematics, Ufa Federal Research Center
Author for correspondence.
Email: bagderinayu@yandex.ru
Russian Federation, Ufa
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