Estimate for the number of limit cycles of Abel equation via a geometric criterion on three curves

DOI10.1007/s00030-017-0469-3zbMath1382.34031OpenAlexW2733850088MaRDI QIDQ2411116

Haihua Liang, Jianfeng Huang

Publication date: 20 October 2017

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-017-0469-3

zbMATH Keywords

upper boundlimit cyclesAbel equationcoefficients without fixed signsplanar polynomial system with homogeneous nonlinearities

Mathematics Subject Classification ID

Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

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