| 一类时滞微分方程的周期解与概周期解 |
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| 引用本文： | 姚志健. 一类时滞微分方程的周期解与概周期解[J]. 甘肃联合大学学报(自然科学版), 2005, 19(4): 3-5,20 |
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| 作者姓名： | 姚志健 |
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| 作者单位： | 安徽建筑工业学院,数理系,安徽,合肥,230022 |
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| 基金项目： | 安徽建筑工业学院硕士科研基金资助项目（Y2004-43）. |
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| 摘 要： | 研究一类时滞微分方程的周期解与概周期解,运用比较定理和V函数法,得出该方程存在惟一的全局吸引的正周期解的充分条件,同时也研究了其概周期解的存在惟一性与一致渐近稳定性条件.
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| 关 键 词： | 时滞微分方程 比较定理 周期解 全局吸引 概周期解 |
| 文章编号： | 1672-691X（2005）04-0003-04 |
| 收稿时间： | 2005-04-12 |
| 修稿时间： | 2005-04-12 |
Periodic Solution and Almost Periodic Solution of a Differential Equation with Delays |
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| YAO Zhi-jian. Periodic Solution and Almost Periodic Solution of a Differential Equation with Delays[J]. Journal of Gansu Lianhe University :Natural Sciences, 2005, 19(4): 3-5,20 |
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| Authors: | YAO Zhi-jian |
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| Abstract: | In this paper,a differential equation with delays is studied. By means of comparison throrem and V function method, we obtain sufficient conditions for the existence, uniqueness and global attractivity of positive periodic solution. In addition, the existence, uniqueness and uniform asymptotic stability of almost periodic solution are also studied. |
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| Keywords: | delay differential equation comparison heorem periodic solution global attractivity almost periodic solution |
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