THE POSITIVE PERIODIC SOLUTIONS OF PERIODIC RFDEs WITH INFINITE DELAY  

作　　者：王良龙 王志成 

出　　处：《Annals of Differential Equations》2002年第3期286-297,共12页微分方程年刊（英文版）

基　　金：Project supported by NNSF of China (No:19971026).

摘　　要：This paper is concerned with the periodic retarded functional differential equati-ons(RFDEs) with infinite delay. The sufficient conditions for the existence of noncon-stant positive periodic solutions are established by combining the theory of monotone semiflows generated by RFDEs with infinite delay and the fixed point theorems of solution operators. A nontrivial application of the results obtained here to a well-known nonautonomous Lotka-Volterra system with infinite delay is also presented.This paper is concerned with the periodic retarded functional differential equati-ons(RFDEs) with infinite delay. The sufficient conditions for the existence of noncon-stant positive periodic solutions are established by combining the theory of monotone semiflows generated by RFDEs with infinite delay and the fixed point theorems of solution operators. A nontrivial application of the results obtained here to a well-known nonautonomous Lotka-Volterra system with infinite delay is also presented.

关 键 词：retarded functional differential equations infinite delay periodic solution monotone semiflow phase space solution operator uniform persistence Lotka-Volterra system 

分 类 号：O175[理学—数学]