Symmetry and Integrability of Equations of Mathematical Physics − 2011

Vyacheslav Boyko (Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine)
Roman Popovych (Wolfgang Pauli Institute, Vienna, Austria & Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine)
Nataliya Shapoval (National Taras Shevchenko University of Kyiv, Ukraine)

Symmetries of system of second-order linear ordinary differential equations with constant coefficients

Abstract:
We study symmetry properties of system of second-order linear ordinary differential equations with constant coefficients. A constructive algorithm for computation of symmetries and a general formula for the dimension of the symmetry algebra of such systems are presented.