具有反馈控制和时滞变量的离散周期系统周期解的存在性  

EXISTENCE OF POSITIVE PERIODIC SOLUTIONS IN A PERIODIC DIFFERENCE EQUATION WITH FEEDBACK CONTROLS AND DELAY

作　　者：申淑媛[1] 

机构地区：[1]华南师范大学南海校区数学系,广东佛山528225

出　　处：《华南师范大学学报（自然科学版）》2007年第3期14-21,48,共9页Journal of South China Normal University(Natural Science Edition)

基　　金：广东省自然科学基金资助项目(011471)

摘　　要：首先建立了具有反馈控制和时滞变量的周期离散生态系统,然后利用迭合度的连续定理获得此离散系统正周期解的存在性.The periodic difference model with feedback controls and delay is established, With the help of a continuation theorem based on Gains and Mawhin coincidence degree, easily verifiable criteria are obtained for the existence of positive periodic solutions of the above periodic difference model.

关 键 词：差分方程 正周期解 迭合度 反馈控制 

分 类 号：O175.7[理学—数学]