| 一类具复杂偏差变元的中立型微分方程的周期解 |
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| 引用本文： | 刘锡平,贾梅. 一类具复杂偏差变元的中立型微分方程的周期解[J]. 数学研究及应用, 2006, 26(4): 811-818 |
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| 作者姓名： | 刘锡平 贾梅 |
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| 作者单位： | 上海理工大学理学院,上海,200093 |
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| 基金项目： | 上海市教委科研基金(05EZ52) |
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| 摘 要： | 本文研究了一类具复杂偏差变元的中立型泛函微分方程■(t)=θ■(t-r) α(t)f(x(t)) β(t)g(x(x(t))) p(t)的周期解的存在性,得到了周期解存在的充分条件,并给出了所得结论的几个简单应用．
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| 关 键 词： | 复杂偏差变元 泛函微分方程 周期解 拓扑度 |
| 文章编号： | 1000-341X(2006)04-0811-08 |
| 收稿时间： | 2004-09-17 |
| 修稿时间： | 2004-09-17 |
Existence of Periodic Solutions to a Type of First Order Neutral Functional Differential Equation with Complex Deviating Argumen |
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| LIU Xi-ping and JIA Mei. Existence of Periodic Solutions to a Type of First Order Neutral Functional Differential Equation with Complex Deviating Argumen[J]. Journal of Mathematical Research with Applications, 2006, 26(4): 811-818 |
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| Authors: | LIU Xi-ping and JIA Mei |
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| Affiliation: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| Abstract: | The paper studies the existence of periodic solutions to a type of the first order neutral functional differential equations with complex deviating argument $dot{x}(t)=thetadot{x}(t-tau)+alpha (t)f(x(t))+beta (t)g(x(x(t)))+p(t)$, obtains sufficient conditions for existence of the periodic solutions, and gives a few simple applications of the theory. |
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| Keywords: | functional differential-iterative equation periodic solution topological degree |
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