English

New Symmetry Groups for Generalized Solutions of ODEs

Analysis of PDEs 2010-03-01 v2

Abstract

It is shown for a simple ODE that it has many symmetry groups beyond its usual Lie group symmetries, when its generalized solutions are considered within the nowhere dense differential algebra of generalized functions.

Keywords

Cite

@article{arxiv.math/0605109,
  title  = {New Symmetry Groups for Generalized Solutions of ODEs},
  author = {Elemer E Rosinger},
  journal= {arXiv preprint arXiv:math/0605109},
  year   = {2010}
}
R2 v1 2026-07-22T17:35:21.371Z