含参数泛函微分方程概周期正解的存在性  

Existence of positive almost periodic solutions for functional differential equations with a parameter

作　　者：刘永建[1] 杨启贵[1] 冯春华[2] 

机构地区：[1]华南理工大学数学科学学院 [2]广西师范大学数学科学学院,广西桂林541004

出　　处：《纯粹数学与应用数学》2007年第4期493-500,共8页Pure and Applied Mathematics

基　　金：国家自然科学基金资助项目(10461002);广西科技厅自然基金项目(0728249);广西教育厅科研项目(200607LX138);玉林师范学院青年科研项目(2007);玉林师范学院重点科研项目(2007YJZD08)

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.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.

关 键 词：泛函微分方程 概周期解 存在性 

分 类 号：O175.7[理学—数学]