| 混合型退化时滞微分方程的周期解 |
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| 引用本文： | 张志信,蒋威.混合型退化时滞微分方程的周期解[J].安徽大学学报(自然科学版),2006,30(1):4-6. |
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| 作者姓名： | 张志信 蒋威 |
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| 作者单位： | 安徽大学,数学与计算科学学院,安徽,合肥,230039;安徽大学,数学与计算科学学院,安徽,合肥,230039 |
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| 基金项目： | 国家自然科学基金资助项目（10241005）;教育部科学技术研究基金资助项目（205068）;安徽大学创新团队基金资助项目. |
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| 摘 要： | 首先讨论含有两个时滞的混合型退化时滞微分方程的周期解问题,给出了混合型退化时滞微分方程周期解存在的充分必要条件;其次对二维的混合型退化时滞微分方程给出了周期解存在性的代数判据.
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| 关 键 词： | 退化时滞微分方程 混合型退化时滞微分方程 周期解 |
| 文章编号： | 1000-2162（2006）01-0004-03 |
| 收稿时间： | 2005-04-05 |
| 修稿时间： | 2005年4月5日 |
The periodic solution of compound singular differential equation with delay |
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| ZHANG Zhi-xin,JIANG Wei.The periodic solution of compound singular differential equation with delay[J].Journal of Anhui University(Natural Sciences),2006,30(1):4-6. |
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| Authors: | ZHANG Zhi-xin JIANG Wei |
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| Institution: | School of Mathematics and Computational Science,Anhui University,Hefei 230039,China |
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| Abstract: | In this paper,we study the existence of periodic solution of compound singular differential(equation) with delay,and necessary and sufficient conditions are obtained for the existence of periodic solution of compound singular differential equation with delay,particularly,the author give the criteria of existence of periodic solution of two-dimensional compound singular differential equation with delay,finally a numeric example is presented to verify the validity of criteria. |
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| Keywords: | singular equation with delay compound singular equation with delay periodic solution |
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