Classes of formal solutions of algebraic ODEs calculating by means of the methods of plane power geometry
Here is presented a classification of formal series and showed that if an ordinary differential equation has a formal solution belonging to chosen classes, then the truncation of this solution is a solution of the truncated equation that is determined by the initial equation with the help of its Newton-Bruno polygon.
formal solutions ODEs, classes of the formal solutions, plane power geometry
Publication language:russian, pages:26
Mathematical problems and theory of numerical methods