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| 多时滞中立型微分积分方程的周期解 | |
| 引用本文： | 贾梅,刘锡平,葛渭高,郭彦平.多时滞中立型微分积分方程的周期解[J].系统科学与数学,2007,27(4):615-623. |
| 作者姓名： | 贾梅 刘锡平 葛渭高 郭彦平 |
| 作者单位： | 1. 上海理工大学理学院,上海,200093 2. 北京理工大学应用数学系,北京,100081 3. 河北科技大学理学院,石家庄,050018 |
| 基金项目： | 上海市教委资助项目;国家自然科学基金 |
| 摘 要： | 研究了一类具有多个时滞的中立型微分积分方程x'(t)=∫tt-σ9(t,s,x(s))ds f(t,x(t-τ0),x'(t-τ1))周期解的存在性,得到了方程周期解存在的充分条件.所得结果体现了滞量σ对周期解存在性的影响. |
| 关 键 词： | 时滞 中立型微分积分方程 周期解 度 |
| 收稿时间： | 2004-11-5 |
| 修稿时间： | 2004年11月5日 |
Periodic Solutions to a Type of Neutral Integro-DifferentialEquation with Three Delays |
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| Jia Mei,Liu Xiping,Ge Weigao,Guo Yanping.Periodic Solutions to a Type of Neutral Integro-DifferentialEquation with Three Delays[J].Journal of Systems Science and Mathematical Sciences,2007,27(4):615-623. | |
| Authors: | Jia Mei Liu Xiping Ge Weigao Guo Yanping |
| Institution: | (1)College of Science, University of Shanghai for Science and Technology, Shanghai 200093;(2)Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081;(3)College of Science, Hebei University of Science and Technology, Shijiazhuang 050018 |
| Abstract: | The existence of periodic solutions to the neutral integro-differential equation $x'(t)=\int^t_{t-\sigma}g\big{(}t, s, x(s)\big{)}{\mathrm{d}}s+ f\big{(}t, x(t-\tau_0), x'(t-\tau_1)\big{)}$ with three delays is studied, the sufficient conditions of the existence of periodic solutions to the equations is obtained. The result shows the influence of the lag $\sigma$ to the existence of periodic solutions. |
| Keywords: | Delay neutral integro-differential equation periodic solutions degree |
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