一类时滞模型周期正解的存在性问题  

Existence of Positive Periodic Solutions for a Class of Differential Equations with Time Delay

作　　者：蒲志林[1] 苟清明[2] 

机构地区：[1]四川师范大学数学系,成都610066 [2]涪陵师范学院数学系,重庆408003

出　　处：《工程数学学报》2002年第3期21-25,共5页Chinese Journal of Engineering Mathematics

基　　金：四川省教育厅重点基金资助

摘　　要：利用非线性锥映射的拓扑度的性质 ,研究了一类时滞微分方程周期正解的存在性问题 ,并将所得结果应用于Nicholson’sblowflies模型 ,证明了在周期环境下 ,Nicholson’sblowflies模型方程存在周期正解。Existence of positive periodic solutions for a class of delay differential equation is discussed. On the basis of properties of topological degree, the conditions of existence of positive periodic solutions for a class of delay differential equations are presented, the results obtained is also applied to Nicholson's blowflies model.

关 键 词：时滞模型 周期正解 存在性问题 时滞微分方程 锥映射 拓扑度 

分 类 号：O175.1[理学—数学]