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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： | 2004-11-05 |
| 修稿时间： | 2004-11-05 |
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 |
| Affiliation: | (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 $x'(t)=int^t_{t-sigma}gbig{(}t, s, x(s)big{)}{mathrm{d}}s+ fbig{(}t, x(t-tau_0), x'(t-tau_1)big{)}$ 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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