The system of equations in partial derivatives in form of
differential polynomials is considered. To each differential
polynomial corresponds to the some set in
- its
support. Truncated systems of equations is selected with
respect to the boundary subsets of different polynomials
contained in system.
Among its solutions all first approximations to input system
are present. The algorithm for obtaining of all truncated
systems for given system of equations is suggested. It has
realized as computer program.