Symmetries and infinitesimal symmetries of singular differential equations

  title={Symmetries and infinitesimal symmetries of singular differential equations},
  author={Xavier Gr{\`a}cia and Josep M. Pons},
  journal={Journal of Physics A},
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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