| 一类n阶微分方程的周期解问题 |
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| 引用本文： | 郭承军,潘立军.一类n阶微分方程的周期解问题[J].嘉应学院学报,2010,28(5):8-12. |
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| 作者姓名： | 郭承军 潘立军 |
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| 作者单位： | 1. 广东工业大学,应用数学学院,广州,510006
2. 嘉应学院,数学学院,广东,梅州,514015 |
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| 基金项目： | 广东省自然科学基金资助项目 |
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| 摘 要： | 利用重合度理论,研究了一类n阶微分方程x(n)(t)+f(x′(t),…,x(n-1)(t))+g(x(t-γ(t)))=p(t)的周期解的存在性,得到了周期解存在的若干新结果。
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| 关 键 词： | n阶微分方程 周期解 重合度 |
Periodic Solutions for a Class of n th Differential Equations |
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| GUO Cheng-jun,PAN Li-jun.Periodic Solutions for a Class of n th Differential Equations[J].Journal of Jiaying University,2010,28(5):8-12. |
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| Authors: | GUO Cheng-jun PAN Li-jun |
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| Institution: | 1.School of Applied Mathematics,Guangdong University of Technology,Guangzhou 510006,China;2.School of Mathematics,Jiaying University,Meizhou 514015,China) |
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| Abstract: | In this paper,by using the coincidence degree theory,we investigate periodic solutions for a class of n th differential equations x^n（t）＋f（x′（t）,…,x^（n-1）（t））＋g（x（t-γ（t））=p（t）. Some new results for the existence of periodic solution of the equations are obtained. |
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| Keywords: | n th differential equations periodic solution coincidence degree |
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