Symmetry and Integrability of Equations of Mathematical Physics − 2011


Oksana Kuriksha (Mykolayiv Petro Mogyla State Humanities University, Mykolaiv, Ukraine)

Systems of two first-order ordinary differential equations invariant with respect to linear realizations of Lie algebras

Abstract:
We carry out the exhaustive classification of systems of two first-order ordinary differential equations invariant with respect to transformations which are linear with respect to dependent variables.