Dynamic Behavior of a Logistic Type Equation with Infinite Delay  

作　　者：Feng-de Chen Chun-ling Shi 

机构地区：[1]College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350002, China

出　　处：《Acta Mathematicae Applicatae Sinica》2006年第2期313-324,共12页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(10501007);the Foundation of Science and Technology of Fujian Province for Young Scholars(2004J0002);Foundation of Fujian Education Bureau(JA04156).

摘　　要：A non-autonomous Logistic type equation with infinite delay is investigated. For general nonautonomous case, sufficient conditions which guarantee the uniform persistence and globally attractivity of the system arc obtained; For almost periodic case, by means of a suitable Lyapunov functional, sufficient conditions are derived for the existence and uniqueness of almost periodic solution of the system. Some new results are obtained.A non-autonomous Logistic type equation with infinite delay is investigated. For general nonautonomous case, sufficient conditions which guarantee the uniform persistence and globally attractivity of the system arc obtained; For almost periodic case, by means of a suitable Lyapunov functional, sufficient conditions are derived for the existence and uniqueness of almost periodic solution of the system. Some new results are obtained.

关 键 词：Logistic type equation infinite delay Lyapunov functional existence UNIQUENESS almost periodic solution 

分 类 号：O14[理学—数学]