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| 一类多时滞微分系统的周期解 | |
| 引用本文： | 刘可为,蒋威. 一类多时滞微分系统的周期解[J]. 数学杂志, 2011, 31(1): 138-146 |
| 作者姓名： | 刘可为 蒋威 |
| 作者单位： | 1. 合肥工业大学数学学院,安徽,合肥,230009 2. 安徽大学数学学院,安徽,合肥,230039 |
| 基金项目： | 国家自然科学基金，教育部重点项目，合肥工业大学校基金，安徽大学创新团队项目资助 |
| 摘 要： | 本文研究了一类多时滞微分系统的周期解的存在性和全局渐近稳定性.利用度理论和一些分析技巧,得到了周期解存在和全局渐近稳定的一个充分条件.推广了文献[8,9,13]的相关结果. |
| 关 键 词： | 延拓定理 时滞微分系统 周期解 全局渐近稳定性 |
PERIODIC SOLUTIONS FOR A CLASS OF DIFFERENTIAL SYSTEMS WITH MULTIPLE DELAYS |
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| LIU Ke-wei,JIANG Wei. PERIODIC SOLUTIONS FOR A CLASS OF DIFFERENTIAL SYSTEMS WITH MULTIPLE DELAYS[J]. Journal of Mathematics, 2011, 31(1): 138-146 | |
| Authors: | LIU Ke-wei JIANG Wei |
| Affiliation: | LIU Ke-wei1,JIANG Wei2 (1.School of Mathematics,Hefei University of Technology,Hefei 230009,China) (2.School of Mathematics,Anhui University,Hefei 230039,China) |
| Abstract: | In this article, the existence and globally asymptotic stability of periodic solutions for a class of differential systems with multiple delays are studied. By using degree theory and some analysis techniques, a sufficient condition is obtained. This extends some corresponding results in [8, 9, 13]. |
| Keywords: | continuation theorem differential systems with delays periodic solutions globally asymptotic stability. |
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