On the number of limit cycles of a generalized Abel equation. (English) Zbl 1224.34097
Summary: New results are proved on the maximum number of isolated \(T\)-periodic solutions (limit cycles) of a first order polynomial differential equation with periodic coefficients. The exponents of the polynomial may be negative. The results are compared with the available literature and applied to a class of polynomial systems on the cylinder.
MSC:
| 34C07 | Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert’s 16th problem and ramifications) for ordinary differential equations |
| 34C25 | Periodic solutions to ordinary differential equations |
References:
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