Affiliation:
1. Universidad de Extremadura
2. Universitat de les Illes Ballears
Abstract
We study the number of rational limit cycles of the Abel equation
x
′
=
A
(
t
)
x
3
+
B
(
t
)
x
2
, where
A
(
t
)
and
B
(
t
)
are real trigonometric polynomials. We show that this number is at most the degree of
A
(
t
)
plus one.