In this paper we deal with the trigonometric polynomial differential equations of the form
Y′= A (θ) Y 2+ B (θ) Y 3, where A and B are real trigonometric polynomials with B (θ)≢ 0 …

We firstly study the Abel ordinary differential equations of the first and second kind from the
perspectives of differential algebra. Then using differential geometry we exhibit some …

Rational limit cycles of Abel differential equations Page 1 Electronic Journal of Qualitative Theory
of Differential Equations 2023, No. 47, 1–13; https://doi.org/10.14232/ejqtde.2023.1.47 …

In this paper we deal with the equations a (x) dy/dx= A (x) y 2+ B (x) y 3, where a (x), A (x)
and B (x) are complex polynomials with a (x) B (x)≢ 0 and a (x) non-constant. First we show …

arXiv:2302.10743v1 [math.CA] 21 Feb 2023 Page 1 arXiv:2302.10743v1 [math.CA] 21 Feb
2023 RATIONAL LIMIT CYCLES OF ABEL DIFFERENTIAL EQUATIONS JL BRAVO, LA …

Las ecuaciones diferenciales son un elemento de estudio de gran interés en el campo de
las matemáticas desde que fueron propuestas por Leibnitz y Newton en el siglo XVII, entre …

RATIONAL LIMIT CYCLES OF ABEL DIFFERENTIAL EQUATIONS 1. Introduction The Abel
differential equation x = A(t)x 3 + B(t)x 2 + C(t) Page 1 RATIONAL LIMIT CYCLES OF ABEL …