Invariants associated with linear ordinary differential equations
Analysis of PDEs
2008-06-27 v1 Classical Analysis and ODEs
Abstract
We apply a novel method for the equivalence group and its infinitesimal generators to the investigation of invariants of linear ordinary differential equations. First, a comparative study of this method is illustrated by an example. Next, the method is used to obtain the invariants of low order linear ordinary differential equations, and the structure invariance group for an arbitrary order of these equations. Other properties of these equations are also discussed, including the exact number of their invariants.
Cite
@article{arxiv.0806.4352,
title = {Invariants associated with linear ordinary differential equations},
author = {J. C. Ndogmo},
journal= {arXiv preprint arXiv:0806.4352},
year = {2008}
}
Comments
12 pages