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arxiv: math/0310241 · v1 · submitted 2003-10-16 · 🧮 math.CA

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

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

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