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KIAM Preprint № 73, Moscow, 2015
Authors: Goryuchkina I. V.
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
Research direction:
Mathematical problems and theory of numerical methods
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