Factorization and Transformations

**Lev M. Berkovich
Samara State University,
1, Acad. Pavlova Str., Samara, 443011 RUSSIA**

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 with the help, generally speaking, nonlocal transformations of dependent and independent variables

These conditions are expressed in termes of factorization through first order nonlinear differential operators. Examples of dynamical systems are considered also.

IMACS ACA'98 Electronic Proceedings