Linearizability Criteria for a Class of Third Order Semi-Linear ODEs

2007/11/08 by F. M. Mahomed, Asghar Qadir, Mahomed, Fazal M. +1
Mathematics · Physics and Astronomy · #Classical Analysis and ODEs (math.CA) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Waves and Solitons #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.0711.1214

openalex publication_date 2007/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using geometric methods for linearizing systems of second order cubically semi-linear ordinary differential equations, we extend to the third order by differentiating the second order equation. This yields criteria for linearizability of a class of third order semi-linear ordinary differential equations, which is distinct from the classes available in the literature. Some examples are given and discussed.

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