The number of limit cycles for generalized Abel equations with periodic coefficients of definite sign

DOI10.3934/CPAA.2009.8.1493zbMath1273.34045OpenAlexW2062983822MaRDI QIDQ1041683

J. Blot

Publication date: 4 December 2009

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2009.8.1493

zbMATH Keywords

limit cycleperiodic solutionAbel equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34)

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Rational Periodic Solutions on Some Generalized Abel Equations ⋮ Rational solutions of Abel trigonometric polynomial differential equations ⋮ Chini equations and isochronous centers in three-dimensional differential systems ⋮ Existence of non-trivial limit cycles in Abel equations with symmetries ⋮ Periodic solutions of Abel equations with jumps ⋮ Limit cycles of Abel equations of the first kind ⋮ Upper bounds of limit cycles in Abel differential equations with invariant curves ⋮ Characterization of the existence of non-trivial limit cycles for generalized Abel equations ⋮ Anti-periodic solutions of Abel differential equations with state dependent discontinuities ⋮ On the number of limit cycles of a generalized Abel equation ⋮ Abel-like differential equations with a unique limit cycle ⋮ Rational limit cycles of Abel equations ⋮ On the study and application of limit cycles of a kind of piecewise smooth equation ⋮ Rational limit cycles on Bernoulli and Riccati equations ⋮ Rational limit cycles on generalized Bernouilli polynomial equations ⋮ Criteria on the existence of limit cycles in planar polynomial differential systems

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