学术
含参数泛函微分方程概周期正解的存在性
刘永建[1,2] 杨启贵[1] 冯春华[3]
[1]华南理工大学数学科学学院,广东广州510641 [2]玉林师范学院数学与计算机科学系,广西玉林537000 [3]广西师范大学数学科学学院,广西桂林541004
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．[著者文摘]
文章出处:
《纯粹数学与应用数学》-2007年23卷4期 -493-500页
分 类 号:
文献标识码:
A
文章编号:
1008-5513（2007）04-0493-08
Existence of positive almost periodic solutions for functional differential equations with a parameter
LIU Yongjian ,YANG Qigui ,FENG Chunhua （1. SchOol of Mathematics ,South China University of Technology,Guangzhou 510641 ,China; 2. Department of Mathematics and Computer Science, Yulin Normal University, Yulin 537000,China; 3. Mathematics Science College, Guangxi Normal University, Guilin 541004,China）
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.[著者文摘]
Key words:
functional-differential equations ,positive almost periodic solution ,existence
基金资助:
国家自然科学基金资助项目（10461002）,文本科技厅自然基金项目（0728249）,文本教育厅科研项目（20067LX138）,玉林师范学院青年科研（2007）,玉林师范学院重点科研项目（2007YJZD08）
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