| 一类三阶泛函微分方程的周期解 |
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| 引用本文： | 潘立军,陈星荣.一类三阶泛函微分方程的周期解[J].嘉应学院学报,2008,26(3):29-33. |
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| 作者姓名： | 潘立军 陈星荣 |
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| 作者单位： | 嘉应学院数学系,广东,梅州,514015 |
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| 摘 要： | 利用重合度理论，研究了一类三阶泛涵微分方程x＇＇＇（t）＋a1x”（t）]^k＋a2x＇（t）]^k＋a3x（t）]^k＋f（t，x（t），x（t—τ））=p（t）的周期解的存在性，得到了周期解存在的充分条件。
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| 关 键 词： | 三阶泛涵微分方程 周期解 重合度 |
Periodic Solutions for a Class of Third Order Functional Differential Equations |
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| PAN Li-jun,CHEN Xing-rong.Periodic Solutions for a Class of Third Order Functional Differential Equations[J].Journal of Jiaying University,2008,26(3):29-33. |
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| Authors: | PAN Li-jun CHEN Xing-rong |
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| Institution: | PAN Li -jura CHEN Xing- tong ( Department of Mathematics, Jiaying University, Meizhou 514015, China) |
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| Abstract: | In this paper,by using the coincicidence degree theory,we investigate periodic solutions for a class of third order functional differential equations x(t)+a1k+a2k+a3k+f(t,x(t),x(t-τ))=p(t).Some sufficient conditions for the existence of periondic solution of the equations are obtained. |
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| Keywords: | Third order functional differential equations Periodic solution Coincidencedegree |
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