一类时滞微分方程的概周期解  

On Almost Periodic Solution of a Class of Differential Equation with Continuous Time-lag

作　　者：焉波[1] 

机构地区：[1]北华大学数学学院,吉林吉林132021

出　　处：《吉林大学学报（理学版）》2008年第1期51-54,共4页Journal of Jilin University:Science Edition

基　　金：教育部博士点基金(批准号:20060183017)

摘　　要：应用概周期解存在惟一性定理和Liapunov方法,得到一类时滞微分方程正概周期解存在惟一的充分条件,并讨论了具有连续时滞的非自治捕食系统正不变集的存在性及其解的有界性.A sufficient condition of existence and uniqueness of a class of differential equation with continuous time-lag positive almost periodic solution was obtained by using the theorem of the existence and uniqueness of almost periodic solution and the method of constructing Liapunov functional.

关 键 词：概周期解 生态系统 时滞 LIAPUNOV泛函 存在惟一性 

分 类 号：O175.13[理学—数学]