Author(s)

Ni Hua

Faculty of Science, Jiangsu University, Zhenjiang, China.

This paper deals with a class of n-degree polynomial differential equations. By the fixed point theorem and mathematical analysis techniques, the existence of one (n is an odd number) or two (n 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.

n-Degree Polynomial Differential Equation, Fixed Point Theory, Periodic Solution

Hua, N. (2021) The Existence of Periodic Solutions of a Class of n-Degree Polynomial Differential Equations*. Applied Mathematics, 12, 32-57. doi: 10.4236/am.2021.121004.