On the point transformations for the equation y''= P + 3Qy' + 3Ry'² + Sy'³

1997/06/05 by Руслан Шарипов, Sharipov, R. A. · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Differential Equations Analysis #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.solv-int/9706003

openalex publication_date 1997/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For the equations y''=P(x,y) + 3Q(x,y)y' + 3R(x,y)y'² + S(x,y)y'³ the problem of equivalence is considered. Some classical results are resumed in order to prepare the background for the study of special subclass of such equations, which arises in the theory of dynamical systems admitting the normal shift.

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• Comparison of two classifications of a class of ODE's in the case of general position

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