The number of polynomial solutions of polynomial Riccati equations

DOI10.1016/j.jde.2016.07.019zbMath1359.34020arXiv1602.03503OpenAlexW2258964654MaRDI QIDQ738719

Joan Torregrosa, Xiang Zhang, Armengol Gasull

Publication date: 5 September 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.03503

zbMATH Keywords

Riccati differential equationpolynomial solution

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34)

Related Items (11)

Kink solitary solutions to generalized Riccati equations with polynomial coefficients ⋮ Rational solutions of Abel differential equations ⋮ Polynomial solutions of equivariant polynomial Abel differential equations ⋮ On the number of polynomial solutions of Bernoulli and Abel polynomial differential equations ⋮ On the Abel differential equations of third kind ⋮ Periodic orbits in piecewise Riccati vector fields ⋮ Trigonometric polynomial solutions of Bernoulli trigonometric polynomial differential equations ⋮ Center problem for trigonometric Liénard systems ⋮ Unnamed Item ⋮ Rational limit cycles on Bernoulli and Riccati equations ⋮ Rational limit cycles on generalized Bernouilli polynomial equations

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