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| 一类无穷时滞周期Lotka-Volterra型系统的正周期解 | |
| 引用本文： | 滕志东. 一类无穷时滞周期Lotka-Volterra型系统的正周期解[J]. 数学物理学报(A辑), 2001, 21(1): 94-101 |
| 作者姓名： | 滕志东 |
| 作者单位： | 滕志东（新疆大学数学系乌鲁木齐830046） |
| 基金项目： | 国家教委留学回国人员科研启动基金资助 |
| 摘 要： | 该文研究一类无穷时滞周期Ｌｏｔｋａ Ｖｏｌｔｅｒｒａ型系统正周期解的存在性．应用Ｓｃｈａｕｄｅｒ不动点定理得到了一个比较一般的正周期解存在定理．文献［１，２］中的主要结果被改进和推广． |
| 关 键 词： | 无穷时滞 Ｌｏｔｋａ Ｖｏｌｔｅｒｒａ型系统 正周期解 Ｓｃｈａｕｄｅｒ不动点定理 全局渐近稳定性 |
The Positive Periodic Solutions of A Class of Periodic Lotka-Volterra Type Systems with Infinite Delay |
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| TENG Zhi-Dong. The Positive Periodic Solutions of A Class of Periodic Lotka-Volterra Type Systems with Infinite Delay[J]. Acta Mathematica Scientia, 2001, 21(1): 94-101 | |
| Authors: | TENG Zhi-Dong |
| Abstract: | In this paper the existence of positive periodic solutions of a class of periodic Lotka-Volterra type systems with delays is studied. Applying the Schauder's fixed point theorem we obtain a general criterion for the existence of positive periodic solutions. The main results in articles [1,2] are improved and extended. |
| Keywords: | Infinite delay Lotka-Volterra type system Positive periodic solution Schauder's fixed point theorem Global asymptotic stability. |
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