# Symmetries and infinitesimal symmetries of singular differential equations

@article{Grcia2002SymmetriesAI, title={Symmetries and infinitesimal symmetries of singular differential equations}, author={Xavier Gr{\`a}cia and Josep M. Pons}, journal={Journal of Physics A}, year={2002}, volume={35}, pages={5059-5077} }

The aim of this paper is to study symmetries of linearly singular differential equations, namely, equations that cannot be written in normal form because the derivatives are multiplied by a singular linear operator. The concept of geometric symmetry of a linearly singular differential equation is introduced as a transformation that preserves the geometric data that define the problem. It is proved that such symmetries are essentially equivalent to dynamic symmetries, that is, transformations…

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