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The Existence of Periodic Solutions of a Class of <i>n</i>-Degree Polynomial Differential Equations*
Faculty of Science, Jiangsu University, Zhenjiang, China
- 1 Faculty of Science, Jiangsu University, Zhenjiang, China
Applied Mathematics·Volume 12 (2021)·Pages 32–57·Published 20 January 2021·DOI10.4236/am.2021.121004
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Abstract
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.
Keywords<i>n</i>-Degree Polynomial Differential EquationFixed Point TheoryPeriodic Solution
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