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math.DS2026
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 , where and belong to the linear span of a fami…
math.CA2026
Bifurcation of limit cycles in a class of piecewise smooth generalized Abel equations with two asymmetric zones
Haihua Liang, Jianfeng Huang
This paper studies the number of limit cycles, known as the Smale-Pugh problem, for the generalized Abel equation \begin{align*} \frac{dx}{dθ}=A(θ)x^p+B(θ)x^q, \end{align*} where $…