广义阿贝尔微分方程的周期解

Periodic Solutions on Generalized Abel's Differential Equation

中文关键词:  广义阿贝尔微分方程  不动点理论  周期解

英文关键词:generalized Abel's differential equation  fixed point theory  periodic solutions

中文摘要:

      本文讨论了广义阿贝尔微分方程.利用不动点定理,得到了方程存在两个非零周期解的充分条件.同时,我们还讨论了不存在非零周期解和存在唯一非零周期解的情况.

英文摘要:

      In this paper, we discuss the generalized Abelian differential equation. By using the fixed point theorem, we obtain sufficient conditions for the existence of two nonzero periodic solutions of the equation. We also discuss the case that there is no nonzero periodic solution and there is a unique nonzero periodic solution.