Estimates on the number of limit cycles of a generalized Abel equation
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Publication:717851
DOI10.3934/dcds.2011.31.25zbMath1372.34075OpenAlexW2328818716MaRDI QIDQ717851
Pedro J. Torres, Naeem M. H. Alkoumi
Publication date: 10 October 2011
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2011.31.25
Periodic solutions to ordinary differential equations (34C25) 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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Kink solitary solutions to generalized Riccati equations with polynomial coefficients ⋮ A uniqueness criterion of limit cycles for planar polynomial systems with homogeneous nonlinearities ⋮ Non-existence and uniqueness of limit cycles for planar polynomial differential systems with homogeneous nonlinearities ⋮ Estimate for the number of limit cycles of Abel equation via a geometric criterion on three curves ⋮ Periodic solutions of Abel equations with jumps ⋮ Anti-periodic solutions of Abel differential equations with state dependent discontinuities ⋮ A geometric criterion for equation \(\dot{x} = \sum\nolimits_{i = 0}^m a_i(t) x^i\) having at most \(m\) isolated periodic solutions ⋮ On the Number of Limit Cycles in Generalized Abel Equations
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