| 具时滞的离散互惠系统周期解的存在性 |
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| 引用本文： | 王冬梅,徐志庭,刘秀湘. 具时滞的离散互惠系统周期解的存在性[J]. 黑龙江大学自然科学学报, 2006, 23(4): 548-552 |
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| 作者姓名： | 王冬梅 徐志庭 刘秀湘 |
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| 作者单位： | 华南师范大学,数学科学学院,广东,广州,510631;华南师范大学,数学科学学院,广东,广州,510631;华南师范大学,数学科学学院,广东,广州,510631 |
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| 摘 要： | 讨论了一类具周期系数和时滞的离散互惠系统周期解的存在性问题.通过利用Mawhin重合度理论中的连续性定理,获得了该系统周期正解存在的充分条件,拓展了已有的连续具时滞和差分不具时滞的结果.
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| 关 键 词： | 重合度 离散时间 时滞互惠系统 周期正解 |
| 文章编号： | 1001-7011(2006)04-0548-05 |
| 修稿时间： | 2006-02-06 |
Existence of periodic solutions for a cooperative difference equation system with delay |
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| WANG Dong-mei,XU Zhi-ting,LIU Xiu-xiang. Existence of periodic solutions for a cooperative difference equation system with delay[J]. Journal of Natural Science of Heilongjiang University, 2006, 23(4): 548-552 |
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| Authors: | WANG Dong-mei XU Zhi-ting LIU Xiu-xiang |
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| Abstract: | Consider the existence for periodic solutions of a discrete cooperative system with periodic coefficients and delay.The existence of positive periodic solutions for delay difference equation of a cooperative system is established by using the method of coincidence degree.This improves the existed results of the two cases: continuous model with delay and discrete model without delay. |
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| Keywords: | coincidence degree discrete time delay cooperative system positive periodic solutions |
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