In this paper, the existence of a periodic solution for Abel’s differential equation is obtained first by using the fixed-point theorem. Then, by constructing the Lyapunov function, the uniqueness and stability of the periodic solution of the equation are obtained.

中文翻译：

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Abel微分方程的唯一周期解

本文首先利用定点定理获得了Abel微分方程周期解的存在性。然后，通过构造李雅普诺夫函数，获得方程周期解的唯一性和稳定性。