On the center problem for generalized Abel equations

DOI10.1007/s10114-023-1131-0MaRDI QIDQ6145656

Changjian Liu, Shaoqing Wang

Publication date: 9 January 2024

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

center problemcomposition conditiongeneralized Abel equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear ordinary differential equations and systems (34A34)

Cites Work

• The center problem and composition condition for Abel differential equations
• The composition conjecture for Abel equation
• Centers for trigonometric Abel equations
• Solution of the parametric center problem for the Abel differential equation
• On the center-focus problem for a family of high-order polynomial differential systems
• Centers of planar generalized Abel equations
• Algebraic geometry of the center-focus problem for Abel differential equations
• Tree composition condition and moments vanishing
• A counterexample to the “composition conjecture"
• The center problem and the composition condition for a family of quartic differential systems
• Non-autonomous equations related to polynomial two-dimensional systems
• A counterexample to the composition condition conjecture for polynomial Abel differential equations
• Some new results on Abel equations

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