The Existence of Periodic Solutions of a Class of <i>n</i>-Degree Polynomial Differential Equations*

• 作者: Ni Hua
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: n-Degree Polynomial Differential Equation Fixed Point Theory Periodic Solution
• 年，卷（期）: 2021,（1）
• 页码范围: 32-57
• 页数: 26页
• 分类号: O17

摘要

This paper deals with a class of <em>n</em>-degree polynomial differential equations. By the fixed point theorem and mathematical analysis techniques, the existence of one (<em>n</em> is an odd number) or two (<em>n</em> is an even number) periodic solutions of the equation is obtained. These conclusions have certain application value for judging the existence of periodic solutions of polynomial differential equations with only one higher-order term.