THE POSITIVE PERIODIC SOLUTIONS OF PERIODIC RFDEs WITH INFINITE DELAY

• 作者: 王志成 王良龙
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: retarded functional differential equations infinite delay PERIODIC SOLUTION MONOTONE SEMIFLOW phase space SOLUTION operator uniform persistence LOTKA-VOLTERRA system
• 年，卷（期）: 2002,（3）
• 页码范围: 286-297
• 页数: 12页
• 分类号: O175

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.