On new directions of Group Analysis of ordinary Differential Equations
V.F.Zaitsev
Russian State Pedagogical University
Moyka, 48, 191186, Saint-Petersburg, Russia
In this paper we elucidated the activity of the Saint-Petersburg school
of group analysis of ordinary differential equations for the last decade. This
step was preceded by creation of bases of the theory and the techniques of an
application of discrete group analysis. We consider the problem of maximality
of admissible discrete transformation groups, theory of formal operators,
factorization theorems, the generalized Ermakov equation and examples.