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

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.

Presented at the Euler Tercentenary Workshop at Centre for Differential Equations, Continuum Mechanics and Applications of the School of Computational and Applied Mathematics, University of the Witwatersrand, Wits 2050, South Africa, August 2007

Cited by in corpus (1)

• Geometric Linearization of Ordinary Differential Equations