| 含参数泛函微分方程概周期正解的存在性 |
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| 引用本文： | 刘永建,杨启贵,冯春华.含参数泛函微分方程概周期正解的存在性[J].纯粹数学与应用数学,2007,23(4):493-500. |
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| 作者姓名： | 刘永建 杨启贵 冯春华 |
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| 作者单位： | 华南理工大学数学科学学院,广东,广州,510641;玉林师范学院数学与计算机科学系,广西,玉林,537000;华南理工大学数学科学学院,广东,广州,510641;广西师范大学数学科学学院,广西,桂林,541004 |
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| 基金项目： | 国家自然科学基金，广西科技厅科研项目，广西教育厅科研项目，玉林师范学院青年科研项目，玉林师范学院校科研和教改项目 |
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| 摘 要： | 研究了一类含参数泛函微分方程概周期正解的存在性问题.结合有界性及渐近概周期性获得了系统存在概周期正解的几组充分条件,并将结果应用于几类种群动力学模型,分别获得了系统在概周期环境下存在概周期解的一组充分条件.
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| 关 键 词： | 泛函微分方程 概周期解 存在性 |
| 文章编号： | 1008-5513（2007）04-0493-08 |
| 收稿时间： | 2005-10-20 |
Existence of positive almost periodic solutions for functional differential equations with a parameter |
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| LIU Yongjian,YANG Qigui,FENG Chunhua.Existence of positive almost periodic solutions for functional differential equations with a parameter[J].Pure and Applied Mathematics,2007,23(4):493-500. |
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| Authors: | LIU Yongjian YANG Qigui FENG Chunhua |
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| Abstract: | The existence of positive almost periodic solutions for a kind of functionaldifferential equation with a parameter was investigated. By means of bounded and asymptotic almost periodic, some suffcient conditons to guarantee the existence of almost periodic solution for the system are established. The results obtained are also applied to several kind population dynamics models, some sufficient conditions for existence positive almost periodic solutios of the systems are obtained. |
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| Keywords: | functional-differential equations positive almost periodic solution existence |
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