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New Symmetry Groups for Generalized Solutions of ODEs

Elemer E Rosinger
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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.

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Elemer E Rosinger. 2010-03-01. New Symmetry Groups for Generalized Solutions of ODEs. https://arxiv.org/abs/math/0605109

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