Solving first order autonomous algebraic ordinary differential equations by places

DOI10.1007/s11786-019-00431-6zbMath1445.12003arXiv1803.04731OpenAlexW2995556380WikidataQ126559181 ScholiaQ126559181MaRDI QIDQ782683

Sebastian Falkensteiner, Juan Rafael Sendra

Publication date: 28 July 2020

Published in: Mathematics in Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.04731

zbMATH Keywords

analytic solutionalgebraic curveformal power series solutionplacealgebraic autonomous differential equationlocal parametrization

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Differential algebra (12H05) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25)

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Singularities of algebraic differential equations, The algebro-geometric method: Solving algebraic differential equations by parametrizations, Liouvillian solutions of algebraic ordinary differential equations of order one of genus zero, Algebraic, rational and Puiseux series solutions of systems of autonomous algebraic ODEs of dimension one, On existence and uniqueness of formal power series solutions of algebraic ordinary differential equations

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