On the existence of global first integrals in the plane

DOI10.1007/BF01759019zbMath0794.34014MaRDI QIDQ2367507

Mazzi, Luisa, Sabatini, Marco

Publication date: 16 August 1993

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

autonomous first order systemsglobal first integral

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (2)

An extension to Hadamard global inverse function theorem in the plane ⋮ Integrability conditions for Lotka-Volterra planar complex quartic systems having homogeneous nonlinearities

Cites Work

• A characterization of centres via first integrals
• Über die Existenz von Integralen der partiellen Differentialgleichung \(f(x,y){\partial z\over\partial x}+g(x,y){\partial z\over\partial y}=0\) in der Umgebung eines singulären Punktes
• Über die partielle Differentialgleichung \(f(x,y){\partial z\over\partial x}+g(x,y){\partial z\over\partial y}=h(x,y)\). II
• Topological Types of Polynomial Differential Equations
• Global Structure of Ordinary Differential Equations in the Plane
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