On the Number of Limit Cycles in Generalized Abel Equations with Coefficients Having the Chebyshev Property

Jianfeng Huang, Renhao Tian, Yulin Zhao

This paper concerns the maximum number of limit cycles of generalized Abel differential equations $dx/dt=A(t)x^p+B(t)x^q$, where $A$ and $B$ belong to the linear span of a fami…