| 关于中立型时滞模型的周期正解 |
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| 引用本文： | 李琼,曹进德.关于中立型时滞模型的周期正解[J].数学研究及应用,2000,20(4):562-566. |
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| 作者姓名： | 李琼 曹进德 |
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| 作者单位： | 东南大学应用数学系,南京,210096 |
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| 基金项目： | 云南省应用基础研究基金资助项目(97A012G和1999F0017M) |
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| 摘 要： | 本文利用拓扑度理论和某些新技巧，研究了一类中立型时滞模型N′(t)=N(t)［a(t)-b(t)N(t-τ(t))-c(t)N′(t-τ(t))］周期正解的存在性，得到了一些新结果，解决了一个公开问题，并推广、改进了一些已知文献的结果，同时也改正了文［3］中微分运算的错误和定理2.
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| 关 键 词： | 中立型 时滞 周期正解 拓扑度. |
| 收稿时间： | 1997/5/27 0:00:00 |
| 修稿时间： | 6/8/1999 12:00:00 AM |
On Positive Periodic Solution for Neutral Delay Model |
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| LI Qiong and CAO Jin-de.On Positive Periodic Solution for Neutral Delay Model[J].Journal of Mathematical Research with Applications,2000,20(4):562-566. |
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| Authors: | LI Qiong and CAO Jin-de |
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| Institution: | Dept. of Appl. Math., Southeast University, Nanjing 210096, China;Dept. of Appl. Math., Southeast University, Nanjing 210096, China |
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| Abstract: | In this paper,by using theory of topological degree and some new techniques,the existence of a positive periodic solution of the neutral delay model is studied. A new result is obtained. An open question is answered, and results in some known references are extended and improved. In addition,mistake of a differential operation and Theorem 2 in 3] is corrected. |
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| Keywords: | neutral type delay positive periodic solution topological degree |
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