Characterization of the class of canonical forms for systems of linear equations
Classical Analysis and ODEs
2015-02-26 v1
Abstract
The equivalence group is determined for systems of linear ordinary differential equations in both the standard form and the normal form. It is then shown that the normal form of linear systems reducible by an invertible point transformation to the canonical equation consists of copies of the same iterative equation. Other properties of iterative linear systems are also derived, as well as the superposition formula for their general solution.
Keywords
Cite
@article{arxiv.1502.07164,
title = {Characterization of the class of canonical forms for systems of linear equations},
author = {JC Ndogmo},
journal= {arXiv preprint arXiv:1502.07164},
year = {2015}
}
Comments
14 pages; Original research paper