\(n-1\) independent first integrals for linear differential systems in \(\mathbb{R}^n\) or \(\mathbb{C}^n\)

DOI10.1007/BF02970860zbMath1090.34002MaRDI QIDQ1773858

Jaume Llibre, Manuel J. Falconi

Publication date: 3 May 2005

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

Darboux integrabilityfirst integralsinvariant surface

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30)

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Cites Work

• Equations de Pfaff algébriques
• Algebraic solutions for polynomial systems with emphasis in the quadratic case
• On the nonexistence of rational first integrals for systems of linear differential equations
• Elementary First Integrals of Differential Equations
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