Necessary Conditions for Point Equivalence of Second-Order Odes to the Sixth Painlevé Equation


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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.

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Yu. Bagderina

Institute of Mathematics, Ufa Federal Research Center

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Email: bagderinayu@yandex.ru
俄罗斯联邦, Ufa

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