The number of rational solutions of Abel equations

DOI10.11948/20200475MaRDI QIDQ6599004

Xinjie Qian, Jiazhong Yang, Yang Shen

Publication date: 5 September 2024

Published in: Journal of Applied Analysis and Computation (Search for Journal in Brave)

zbMATH Keywords

Liénard systemAbel differential equationsnontrivial rational solutionrational invariant curve

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Explicit solutions, first integrals of ordinary differential equations (34A05) Dynamics induced by flows and semiflows (37C10)

Cites Work

• Title not available (Why is that?)
• On the polynomial limit cycles of polynomial differential equations
• Relativistic dissipative cosmological models and Abel differential equation
• On the rational limit cycles of Abel equations
• The number of polynomial solutions of polynomial Riccati equations
• Center conditions. II: Parametric and model center problems
• Polynomial solutions of equivariant polynomial Abel differential equations
• Some theorems on the existence, uniqueness, and nonexistence of limit cycles for quadratic systems
• On the number of polynomial solutions of Bernoulli and Abel polynomial differential equations
• Computation of all polynomial solutions of a class of nonlinear differential equations
• Necessary conditions for polynomial solutions of certain Riccati equations.
• Limit Cycles for a Class of Abel Equations
• Qualitative Tools for Studying Periodic Solutions and Bifurcations as Applied to the Periodically Harvested Logistic Equation
• Center conditions, compositions of polynomials and moments on algebraic curves

Related Items (1)

On the number of nontrivial rational solutions for Abel equations

This page was built for publication: The number of rational solutions of Abel equations

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6599004)