| 广义阿贝尔微分方程的周期解 |
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| 引用本文： | 倪华.广义阿贝尔微分方程的周期解[J].数学研究及应用,2022,42(3):261-278. |
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| 作者姓名： | 倪华 |
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| 作者单位： | 江苏大学数学科学学院, 江苏 镇江 212013 |
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| 基金项目： | 江苏大学高级人才基金(Grant No.14JDG176). |
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| 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.
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| 关 键 词： | 广义阿贝尔微分方程 不动点理论 周期解 |
| 收稿时间： | 2021/3/8 0:00:00 |
| 修稿时间： | 2022/2/18 0:00:00 |
Periodic Solutions on Generalized Abel's Differential Equation |
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| Hua NI.Periodic Solutions on Generalized Abel''s Differential Equation[J].Journal of Mathematical Research with Applications,2022,42(3):261-278. |
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| Authors: | Hua NI |
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| Institution: | School of Mathematical Sciences, Jiangsu University, Jiangsu 212013, P. R. China |
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| Abstract: | 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. |
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| Keywords: | generalized Abel''s differential equation fixed point theory periodic solutions |
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