Liouvillian solutions of algebraic ordinary differential equations of order one of genus zero

DOI10.1007/s11424-023-1246-5zbMath1525.34129MaRDI QIDQ6076838

Tri Dat Nguyen, Lâm Xuân Châu Ngô

Publication date: 22 September 2023

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

zbMATH Keywords

Liouvillian solutionautonomous differential equationrational parametrizationsrational algebraic curvealgebraic ordinary differential equation

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15) Nonlinear ordinary differential equations and systems in the complex domain (34M04)

Cites Work

• Unnamed Item
• Liouvillian solutions of first order nonlinear differential equations
• Solving first order autonomous algebraic ordinary differential equations by places
• Rational algebraic curves. A computer algebra approach
• Elementary solutions of differential equations
• Symbolic integration I: Transcendental functions
• Rational Liouvillian solutions of algebraic ordinary differential equations of order one
• Rational general solutions of algebraic ordinary differential equations
• The Problem of Integration in Finite Terms
• An Analogue of L'Hospital's Rule

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