Oksana Kuriksha (Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine)

Systems of second-order ODEs invariant with respect to low-dimensional Lie algebras

Abstract:
Systems of two second-order ordinary differential equations, which are invariant with respect to the real Lie algebras of dimensions no greater than four, are exhaustively described.

Joint work with Maryna Nesterenko (Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine).