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arxiv: math/0605109 · v2 · submitted 2006-05-03 · 🧮 math.AP

New Symmetry Groups for Generalized Solutions of ODEs

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keywords generalizedgroupssolutionssymmetryalgebrabeyondconsidereddense
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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.

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