Weierstrass integrability for a class of differential systems

DOI10.1080/14029251.2014.915165zbMath1420.34054OpenAlexW2094896330MaRDI QIDQ5230949

Claudia Valls, Jaume Llibre

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2014.915165

zbMATH Keywords

Weierstrass first integralsWeierstrass inverse integrating factorcomplex differential systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14)

Cites Work

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• Weierstrass integrability of differential equations
• On the integrable rational Abel differential equations
• Darboux integrability and the inverse integrating factor.
• Abel ODEs: Equivalence and integrable classes
• Generalized Weierstrass integrability for the complex differential equations \(\frac{dy}{dx}=a(x)y^4+b(x)y^3+c(x)y^2+d(x)y+e(x)\)
• An Abel ordinary differential equation class generalizing known integrable classes