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Preprints of the Keldysh Institute of Applied Mathematics, 2015, 073, 26 pp.
(Mi ipmp2035)
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Classes of formal solutions of algebraic ODEs calculating by means of the methods of plane power geometry
I. V. Goryuchkina
Abstract:
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.
Citation:
I. V. Goryuchkina, “Classes of formal solutions of algebraic ODEs calculating by means of the methods of plane power geometry”, Keldysh Institute preprints, 2015, 073, 26 pp.
Linking options:
https://www.mathnet.ru/eng/ipmp2035 https://www.mathnet.ru/eng/ipmp/y2015/p73
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Statistics & downloads: |
Abstract page: | 91 | Full-text PDF : | 56 | References: | 16 |
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