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

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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

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Classical Analysis and ODEs

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http://salesiana.dossiersoluciones.com/handle/123456789/141706

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.1214
 http://arxiv.org/abs/0711.1214

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arXiv