论文标题
新的Chebyshev标准及其在平面差分系统中的应用
A new Chebyshev criterion and its application to planar differential systems
论文作者
论文摘要
本文为某些积分家庭建立了新的Chebyshev标准。根据此标准，我们获得了几个新的Chebyshev家庭。在这些新家庭的帮助下，我们可以回答2015年Gasull等人提出的猜想。％[j。微分方程，258（2015），3286--3303]。它们在其他两个平面差分系统上的应用还表明，我们的方法更简单，并且以一种统一的方式处理许多类型的平面差分系统，以估计周期环的分叉的极限周期数量。
This paper establishes a new Chebyshev criterion for some family of integrals. By virtue of this criterion we obtain several new Chebyshev families. With the help of these new families we can answer the conjecture posed by Gasull et al in 2015. %[J. Differential Equations, 258 (2015), 3286--3303]. Their applications to other two planar differential systems also show that our approach is simpler and in a unified way to handle many kinds of planar differential systems for estimating the number of limit cycles bifurcating from period annulus.
