| 一类时滞微分方程正周期解的存在性 |
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| 引用本文： | 陈吉美,李志祥,王晓. 一类时滞微分方程正周期解的存在性[J]. 国防科技大学学报, 2007, 29(1): 126-130 |
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| 作者姓名： | 陈吉美 李志祥 王晓 |
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| 作者单位： | 国防科技大学,理学院,湖南,长沙,410073;国防科技大学,理学院,湖南,长沙,410073;国防科技大学,理学院,湖南,长沙,410073 |
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| 摘 要： | 讨论了一类生物模型正周期解的存在性问题,利用Mawhin延拓定理得到了系统存在正周期解的一个充分条件。而且,当系统为无穷时滞时,结论也是成立的。
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| 关 键 词： | 周期解 时滞 迭合度 |
| 文章编号： | 1001-2486(2007)01-0126-05 |
| 收稿时间： | 2006-09-04 |
| 修稿时间： | 2006-09-04 |
The Existence of Positive Periodic Solution for a Differtial Equation with Delay |
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| CHEN Jimei,LI Zhixiang and WANG Xiao. The Existence of Positive Periodic Solution for a Differtial Equation with Delay[J]. Journal of National University of Defense Technology, 2007, 29(1): 126-130 |
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| Authors: | CHEN Jimei LI Zhixiang WANG Xiao |
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| Affiliation: | College of Science, National Univ. of Defense Technology, Changsha 410073, China;College of Science, National Univ. of Defense Technology, Changsha 410073, China;College of Science, National Univ. of Defense Technology, Changsha 410073, China |
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| Abstract: | The positive periodic solutions of a biological model with delay were disscussed.One Sufficient condition of the existence of positive periodic solutions was obtained by using the continuation theorem of Mawhin's coincidence degree.In addition,the result on the case with infinite delay was proved to be true. |
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| Keywords: | periodic solution delay coincidence degree |
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