4 papers
Uniqueness of Limit Cycles for Abel Equations and Planar Systems
José Luis Bravo Trinidad, Renhao Tian, Yulin Zhao
We study positive limit cycles of the Abel equation where and are -periodic functions. By developing a half-period convexity method, we…
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…
A Chebyshev criterion for at most two non-zero limit cycles in Abel equations
Jianfeng Huang, Renhao Tian, Yulin Zhao
In this paper, we investigate the maximum number of limit cycles of the reduced Abel equation on an interval . The Smale-Pugh problem asks whet…
On the study of the limit cycles for a class of population models with time-varying factors
Renhao Tian, Jianfeng Huang, Yulin Zhao
In this paper, we study a class of population models with time-varying factors, represented by one-dimensional piecewise smooth autonomous differential equations. We provide severa…