English

Applications of tangent transformations to the linearization problem of fourth-order ordinary differential equations

Classical Analysis and ODEs 2013-10-02 v1

Abstract

Linearization problem of ordinary differential equations by a new set of tangent transformations is considered in the paper. This set of transformations allows one to extend the set of transformations applied for the linearization problem. Criteria for fourth-order ordinary differential equations to be linearizable are obtained in a particular case; a linearization test and procedure for obtaining the linearizing transformations are provided in explicit forms.

Keywords

Cite

@article{arxiv.1310.0418,
  title  = {Applications of tangent transformations to the linearization problem of fourth-order ordinary differential equations},
  author = {S. Suksern and S. V. Meleshko},
  journal= {arXiv preprint arXiv:1310.0418},
  year   = {2013}
}

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26 pages