Erzeugung nichtlinearer gewöhnlicher Differentialgleichungen mit vorgegebener Lie-Algebra von Punktsymmetrien [Generation of ordinary differential equations with predetermined Lie algebra of point symmetries]

paper

arXiv:math/0310241

Abstract

For any $n \in N$ a nonlinear ordinary differential equation with Lie algebra of point symmetries isomorphic to $sl (2, R)$ is given.

5 pages. Text in German