Point classification of the second order ODE's by Ruslan Sharipov and its application to Painleve equations

Abstract

This is an review on the point classification of second order ODE's by Ruslan Sharipov. His works were published in 1997-1998 at the Electronic Archive at LANL and undeservedly forgotten. Last chapter is an application of this classification to the investigation of Painleve equations.

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