Rational Solutions of Abel Differential Equations

J. L. Bravo, L. A. Calderon, M. Fernandez +1

We study the rational solutions of the Abel equation $x^{\prime }=A(t)x^3+B(t)x^2$ where $A,B\in C[t]$. We prove that if $deg(A)$ is even or $deg(B)>(deg(A)-1)/2$ then the equation has at m…