| 一类多滞量周期扰动非线性系统的周期解 |
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| 引用本文： | 曹显兵.一类多滞量周期扰动非线性系统的周期解[J].应用数学和力学,2003,24(1):105-110. |
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| 作者姓名： | 曹显兵 |
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| 作者单位： | 北京工商大学基础部, 北京, 100037 |
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| 摘 要： | 研究一类具有多个滞量的周期扰动非线性系统的T周期解.利用拓扑度的方法得到了系统存在T周期解的充分条件.作为应用,证明了具有滞后的单种群对数模型在一定条件下存在正周期解.
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| 关 键 词： | 多滞量 周期解 拓扑度 |
| 文章编号： | 1000-0887(2003)01-0105-06 |
| 收稿时间： | 2001-10-09 |
| 修稿时间： | 2001年10月9日 |
On the Existence of Periodic Solutions for Nonlinear System With Multiple Delays |
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| CAO Xian_bing.On the Existence of Periodic Solutions for Nonlinear System With Multiple Delays[J].Applied Mathematics and Mechanics,2003,24(1):105-110. |
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| Authors: | CAO Xian_bing |
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| Institution: | Basic Sciences Department, Beijing Technology and Business University, Beijing 100037, China |
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| Abstract: | The existence of T periodic solutions of the nonlinear system with multiple delays is studied. By using the topological degree method, sufficient conditions are obtained for the existence of T-periodic solutions. As an application, the existence of positive periodic solution for a logarithmic population model is established under some conditions. |
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| Keywords: | multiple delays periodic solution topological degree |
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