The method of exact linearization nonlinear ordinary differential equations (ODE) of order n suggested by one of the authors is demonstrated in [1, 2]. This method is based on the factorization ofâ€¦ (More)

We give the description of nonlinear nonautonomous ordinary differential equations of order n with a so-called reducible linear part. The group classification of generalized Emden-Fowler equations ofâ€¦ (More)

Necessary and sufficient conditions are found that the n-order nonlinear and nonautonomous ordinary differential equation could be transformed into a linear equation with constant coefficients withâ€¦ (More)

S OF TALKS PRESENTED AT THE INTERNATIONAL MATHEMATICAL CONFERENCE TOPICS IN MATHEMATICAL ANALYSIS AND GRAPH THEORY (MAGT) A Satellite Meeting to ICM 2006 BELGRADE, SERBIA, SEPTEMBER 1â€“4, 2006.â€¦ (More)

The paper is dedicated to analytical and algebraic approaches to the problem of the integration of ordinary differential equations. The first part is devoted to linear ordinary differential equationsâ€¦ (More)

It is shown how the linear Euler-Imshenetskii-Darboux (EID) differential transformation can be used for generating infinite sequences of linear second-order ordinary differential equations startingâ€¦ (More)

This paper deals with three strategies of integration of an n-th order ordinary differential equation, which admits the r-dimensional Lie algebra of point symmetries. These strategies were proposedâ€¦ (More)

Many methods for finding exact solutions to nonlinear ordinary differential equations (ODE) are based on certain euristic rules. The author suggested a newexact linearization method that provides anâ€¦ (More)

Well-known methods of factorization of differential operators are based on separating the first-order operator from the differential operator of the n-th order by left or by right. If the right-sideâ€¦ (More)