| 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.[点击复制] |
| CHEN Jimei,LI Zhixiang,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[点击复制] |
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| 一类时滞微分方程正周期解的存在性 |
| 陈吉美, 李志祥, 王晓 |
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(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。 |
| 关键词: 周期解 时滞 迭合度 |
| DOI： |
| 投稿日期：2006-09-04 |
| 基金项目: |
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| The Existence of Positive Periodic Solution for a Differtial Equation with Delay |
| CHEN Jimei, LI Zhixiang, WANG Xiao |
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(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. |
| Keywords: periodic solution delay coincidence degree |
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