摘要
该文研究一类无穷分布时滞周期两种群Lotka-Volterra型竞争系统正周期解的存在性。利用Mawhin重合度理论中的延拓定理得到了系统存在一个正周期解的充分条件。
In this paper, the existence of positive periodic solutions of a class of periodic Lotka-Volterra type systems with distributed delay is studied. By using the continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions are obtained, which improve and generalize some known results.
出处
《工程数学学报》
CSCD
北大核心
2005年第3期463-468,共6页
Chinese Journal of Engineering Mathematics
基金
国家自然科学基金(10471040)山东省自然科学基金(2005Z010).
关键词
无穷分布时滞
重合度
正周期解
infinite distributed delay
coincidence degree
positive periodic solution