Rational general solutions of systems of autonomous ordinary differential equations of algebro-geometric dimension one

DOI10.5486/PMD.2015.6032zbMath1349.12002OpenAlexW2012638934WikidataQ115159414 ScholiaQ115159414MaRDI QIDQ5248366

Alberto Lastra Sedano, Lâm Xuân Châu Ngô, Franz Winkler, Juan Rafael Sendra

Publication date: 7 May 2015

Published in: Publicationes Mathematicae Debrecen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5486/pmd.2015.6032

zbMATH Keywords

rational solutions autonomous ordinary differential equations algebraic ordinary differential equations parametrization of curves

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Implicit ordinary differential equations, differential-algebraic equations (34A09) Explicit solutions, first integrals of ordinary differential equations (34A05) Differential algebra (12H05)

Related Items (7)

The algebro-geometric method: Solving algebraic differential equations by parametrizations ⋮ Algebraic and Puiseux series solutions of systems of autonomous algebraic ODEs of dimension one in several variables ⋮ Rational general solutions of systems of first-order algebraic partial differential equations ⋮ Factorization of complex analytic functions algebraically dependent on space curves and applications to compatible functional and differential equations ⋮ The algebro-geometric method for solving algebraic differential equations -- a survey ⋮ Algebraic, rational and Puiseux series solutions of systems of autonomous algebraic ODEs of dimension one ⋮ Birational transformations preserving rational solutions of algebraic ordinary differential equations

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