Alexei LOPATIN  and Anna KUZ'MENKO
National Academy of Management,
26 Panas Myrnyi str. (12-th floor),
01011, Kyiv, UKRAINE
E-mail: lopatin@carrier.kiev.ua

Some issues of qualitative theory of differential equations: group theoretical approach

Abstract:
One of the central problems of qualitative theory of differential equations is a constructive description of integral manifolds. Group theoretical criteria are considered for existence of manifolds of systems of ordinary differential equations.