English

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

Classical Analysis and ODEs 2007-11-09 v1

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.

Keywords

Cite

@article{arxiv.0711.1214,
  title  = {Linearizability Criteria for a Class of Third Order Semi-Linear ODEs},
  author = {Fazal M. Mahomed and Asghar Qadir},
  journal= {arXiv preprint arXiv:0711.1214},
  year   = {2007}
}

Comments

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

R2 v1 2026-06-21T09:41:11.788Z